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| {{Infobox scientist
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| | name = Giovanni Battista Rizza
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| | image = <!--(filename only)-->
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| | image_size =
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| | alt =
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| | caption =
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| | birth_date = {{Birth date and age|1924|2|7}}
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| | birth_place = [[Piazza Armerina]]
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| | death_date = <!-- {{Death date and age|YYYY|MM|DD|1924|2|7}} (death date then birth date) -->
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| | death_place =
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| | residence = [[Parma]]
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| | citizenship =
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| | nationality = Italian
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| | fields = [[Several complex variables]]<br>[[Differential geometry]]
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| | workplaces = [[Università degli Studi di Genova]]<br>[[Istituto Nazionale di Alta Matematica]]<br>[[Sapienza University of Rome]]<br>[[Università degli Studi di Parma]]
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| | alma_mater = [[Università degli Studi di Genova]]
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| | doctoral_advisor = [[Enzo Martinelli]]
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| | academic_advisors =
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| | doctoral_students = see the [[Giovanni Battista Rizza#Teaching activity|teaching activity section]]
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| | notable_students =
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| | known_for = Integral representation of [[pluriharmonic function]]s<br>[[Rizza manifold]]s<br>Theory of functions on Algebras
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| | influences =
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| | influenced =
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| | awards = [[Premio Ottorino Pomini]] of the [[Unione Matematica Italiana]] (1954),<ref name="Pomini">The detailed motivation for the awarding of the prize is reported in the {{harvnb|Bollettino UMI|1954|pp=477–478}}. The high scientific value of the works of the two young [[mathematician]]s induced the commission to approve a resolution to ask the [[Benefactor (law)|benefactor]]s supporting the prize for a double award, and they agreed.</ref><br>[[Golden medal]] "[[Benemeriti della Scuola, della Cultura, dell'Arte]]" (awarded by the [[President of the Italian Republic]]) (1973)<ref name="Ben">See the list of prize winners at the {{Harvtxt|Presidenza della Repubblica Italiana|1973}} [[web site]].</ref>
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| | signature = <!--(filename only)-->
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| | signature_alt =
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| | website = [http://www.math.unipr.it/~rivista/membri/rizza.html Giovanni Battista Rizza's web page] at the website of the "''[[Rivista di Matematica della Università di Parma]]''".
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| | footnotes =
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| | spouse = [[Lucilla Bassotti]]
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| }}
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| '''Giovanni Battista Rizza''' (born February 7, 1924) (at the [[registry office]] '''Giambattista Rizza''')<ref>See {{Harv|Presidenza della Repubblica Italiana|1973}} and {{Harv|Il Ministro dell'Università e della Ricerca Scientifica e Tecnologica|1999}}.</ref> is an Italian [[mathematician]], working in [[Several complex variables|complex analysis of several variables]] and in [[differential geometry]]: he is best known for his contribution to the theory of [[pluriharmonic function]]s and for the introduction of the now called [[Rizza manifold]]s.
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| ==Biography==
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| [[Image:1965 International Algebraic Geometry Symposium.jpg|thumb|350px|left|The International Symposium on Algebraic Geometry held in Rome in 1965. [[Enrico Bompiani]] talking to Giovanni Battista Rizza and [[Vittorio Dalla Volta]].]]
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| ===Life and academic career===
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| Born in [[Piazza Armerina]], the son of Giovanni and Angioletta Bocciarelli, he graduated from the [[Università degli Studi di Genova]], earning his [[laurea]] degree in 1949 under the direction of [[Enzo Martinelli]].<ref name="mar1">According to {{harvtxt|Martinelli|1994|p=1}}, he was his first [[doctoral student]].</ref> In 1956 he was in [[Rome]] at the [[INdAM]], having been awarded a scholarship for his early research activities.<ref>He, [[Giuseppe Arcidiacono]] and Dario Del Pasqua, were awarded the scholarship without sustaining the "''colloquio''" ("colloquium" in English translation), an oral exam where the candidate was asked to answer questions posed by a scientific jury, according to {{harvtxt|Roghi|2005|p=46}} who reports also an excerpt of the motivation given by the commission for the awarding of the scholarship to Rizza:-"''...perché trattasi di giovani di cui è nota l'attività scientifica...''", i.e. (English translation): "''...because they are young researchers whose scientific activity is known, ...''").</ref><ref>{{harv|Roghi|2005|p=8,29,277}} also states that the scientific commission of the institute in charge in 1956 was still the first one, formed on 23 November 1939: its members were [[Francesco Severi]] (the president), [[Luigi Fantappie]], [[Giulio Krall]], [[Enrico Bompiani]] and [[Mauro Picone]].</ref> A year later, in 1957, he was elected "''discepolo ricercatore''"<ref>"''Disciple researcher''" (English translation) was the appellation of junior research scientists working at the [[INdAM]]. See {{harv|Roghi|2005}} for further details.</ref> in the same institute.<ref name="GRp50">See {{harv|Roghi|2005|p=50}}.</ref> During the same year,<ref>See {{harv|Roghi|2005|p=50}} and {{harvtxt|Severi|1958|p=III}}</ref> he gave some lectures on topics belonging to the field of [[several complex variables]],<ref>See {{harv|Rizza|1958}}.</ref> later included in the lecture notes {{harv|Severi|1958}}.<ref>{{harvtxt|Roghi|2005|p=50}} also precisely reports the costs carried by the [[INdAM]] to fund this course.</ref> In Rome he also met [[Lucilla Bassotti]], who eventually become his wife. In 1961, he won the competitive examination for the chair of "Geometria analitica con elementi di Geometria Proiettiva e Geometria Descrittiva con Disegno" of the [[University of Parma]],<ref>"[[Analytic geometry]] with elements of [[projective geometry]] and [[descriptive geometry]] with [[drawing]]" (English translation).</ref> scoring first out of the three finalists:<ref>See the announce on the {{harvtxt|Bollettino UMI|1962|p=454}}.</ref> a year later, in 1962, he become [[extraordinary professor]],<ref>See {{harv|Venturini|1963|p=15}}.</ref> and then, in 1965, [[ordinary professor]] to the same chair.<ref>See the Yearbook of the University of Parma ([[#{{harvid|The Editorial Board|1965}}|1965, p. 207]]): the exact date his advancement is the 16th January 1965.</ref> In 1979 he become ordinary professor of "''Geometria superiore''",<ref>Literally "''higher geometry''": it is an Italian university course on advanced geometrical topics.</ref> holding that chair uninterruptedly until 1994:<ref>See the Yearbook of the University of Parma ([[#{{harvid|The Editorial Board|1980}}|1980, p. 209]]).</ref> from 1994 up to his retirement in 1997, he was "''professore fuori ruolo''" in the same department of mathematics he worked for more than 35 years.<ref>See the Yearbook of the University of Parma ([[#{{harvid|The Editorial Board|1995}}|1995, pp. 887 and 1036]]): the locution (literally "''out of role professor''") identifies a nearly retired professor which is not in charge of any particular university course.</ref>
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| Apart from his research and teaching duties, He was actively involved a a member of the redaction committee of the "''Rivista di Matematica della Università di Parma''", serving also as journal from 1992 to 1997.<ref>See the list of the various Editor in Chief in the [[#{{harvid|Rivista di Matematica della Università di Parma|2013}}|historical section of the journal web site]].</ref>
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| ===Honors===
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| In 1954 he was awarded the [[Ottorino Pomini prize]] by the [[Unione Matematica Italiana]], jointly with [[Gabriele Darbo]]: the judging commission included [[Giovanni Sansone]] (the president), [[Alessandro Terracini]], [[Beniamino Segre]], [[Giuseppe Scorza-Dragoni]], [[Carlo Miranda]], [[Mario Villa]] and [[Enzo Martinelli]] (the secretary).<ref name="Pomini"/>
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| In 1973 He was awarded the [[golden medal]] "[[Benemeriti della Scuola, della Cultura, dell'Arte]]" by the [[President of the Italian Republic]],<ref name="Ben"/> acknowledging his research and teaching and achievements as civil servant at the University of Parma.<ref>See {{harv|Schreiber|1973|p=1}}.</ref>
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| In 1999 the University of Parma, where he worked for more than 35 years, awarded him the title of [[professor emeritus]].<ref>See {{Harv|Il Ministro dell'Università e della Ricerca Scientifica e Tecnologica|1999}}.</ref>
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| He is currently an honorary member of the [[Balkan Society of Geometers]] and life member of the [[Tensor Society]].<ref>See the list of members of the {{harvtxt|Balkan Society of Geometers|2011}} and of the {{harvtxt|Tensor Society|2010}}.</ref>
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| ===Tracts of his personality===
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| [[Enzo Martinelli]] describes Giovanni Battista Rizza as a passionate researcher with strong intellectual force:<ref name="Marp1">{{harvtxt|Martinelli|1994|p=1}} precisely characterizes Rizza's scientific work as built with "''...molta passione e forza intellettuale...''", i.e. with (English translation) "''...much passion and intellectual force...''".</ref> his scientific work is described a rich of [[Geometry|geometrical]] ideas and denoting a strong [[algorithm]]ic ability.<ref>Again according to {{harvtxt|Martinelli|1995|p=2}}, who writes:-"''Queste poche righe mi auguro siano servite a dimostrare che Rizza è un matematico ricco di idee geometriche e dotato di forti capacità algoritmiche.''", i.e. (free English translation) "''I hope those few words demonstrated that Rizza is a mathematician rich of geometrical ideas and gifted with a strong algorithmic ability.''"</ref> Martinelli praises also Rizza's skills as organizer:<ref name="Marp2">See {{harv|Martinelli|1994|p=2}}.</ref> his view is also shared by {{harvtxt|Schreiber|1973|p=1}}, who refers the positive opinion of Rizza's colleagues and students about his involvement in research, teaching and administrative duties at the mathematics department of the [[University of Parma]].
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| ==Work==
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| [[Image:Giovanni Battista Rizza.ipg.jpg|thumb|350px|right|Giovanni Battista Rizza at work in his home office, in 2003.]]
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| Giovanni Battista Rizza has authored 53 research papers and 30 other scientific works, including research announcements, short notes, surveys and reports: he also wrote didactic notes and historical papers, including commemorations of other scientists.<ref>See for example references {{harv|Rizza|1984}} and {{harv|Rizza|2002}}.</ref> His main fields of research are the [[Hypercomplex analysis|theory of functions on algebras]], the [[Several complex variables|theory of functions of several complex variables]], and [[differential geometry]].
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| ===Research activity===
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| ====Theory of functions on Algebras====
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| The theory of functions on algebras, also referred to as [[hypercomplex analysis]], is the study of [[Function (mathematics)|function]]s whose [[Domain of a function|domain]] is a [[subset]] of an [[algebra over a field|algebra]].<ref>For more information see the survey article by {{harvtxt|Rizza|1973}} and the references cited therein.</ref> The first works of Giovanni Battista Rizza belong to this field of research, for which he was awarded the [[Premio Ottorino Pomini]].<ref>According to the published motivation for the award, reported on the {{harvtxt|Bollettino UMI|1954|p=477}}, "''Sono particolarmente degni di nota i risultati sui teoremi integrali per le funzioni regolari, sulle estensioni della formula integrale di Cauchy alle funzioni monogene sulle algebre complesse dotate di modulo commutative e sul conseguente sviluppo della relativa teoria, ed infine sulla struttura delle algebre di Clifford''" ("''Notable results are the ones on the integral theorems for regular functions, the ones on the extension of Cauchy integral formula to complex commutative algebras with modulus, and lastly the ones on the structure of [[Clifford algebras]]''").</ref> His first main result was the extension of the [[Cauchy integral formula]] to [[monogenic function]]s on the algebra <math>\scriptstyle A^\ast</math>:<ref>See {{harv|Rizza|1952}}, {{harv|Rizza|1952a}} and the survey {{harv|Rizza|1973}}.</ref> precisely, he proved the following formula
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| :<math>\int_{\Gamma_1}\frac{\mathrm{F}(\mathrm{X})}{\mathrm{X}-\Xi}\mathrm{d}\mathrm{X}=2\pi i\sum^k_{s=1}\mathrm{N}^{(s)}u^{(s)}\mathrm{F}(\Xi)</math>
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| ===Teaching activity===
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| ==Selected publications==
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| ===Research works===
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| *{{citation
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| | last = Rizza
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| | first = Giovanni Battista
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| | author-link =
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| | title = Contributi al problema della determinazione di una formula integrale per le funzioni monogene nelle algebre complesse dotate di modulo e commutative
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| | language = Italian
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| | journal = [[Rendiconti di Matematica e delle Sue Applicazioni|Rendiconti di Matematica]]
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| | series = V Serie,
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| | volume = 23
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| | issue = 1–2
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| | year = 1952
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| | pages = 134–155
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| | url =
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| | doi =
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| | mr = 0211370
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| | zbl = 0047.32204
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| }}.
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| *{{Citation
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| | last = Rizza
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| | first = Giovanni Battista
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| | author-link =
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| | title = Estensione della formula integrale di Cauchy alle algebre complesse dotate di modulo e commutative
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| | language = Italian
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| | journal = Rendiconti della [[Accademia Nazionale dei Lincei]], Classe di Scienze Fisiche, Matematiche e Naturali
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| | series = Serie VIII,
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| | volume = vol. XII
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| | issue = 6
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| | pages = 667–669
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| | year = 1952a
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| | mr = 0062240
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| | zbl = 0048.06101
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| }}. "''Extension of Cauchy's integral formula to commutative complex algebras with modulus''" (English translation of the title).
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| *{{citation
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| | last = Rizza
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| | first = Giovanni Battista
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| | author-link =
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| | title = Teoria delle funzioni nelle algebre complesse dotate di modulo e commutative
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| | language = Italian
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| | journal = [[Rendiconti di Matematica e delle Sue Applicazioni|Rendiconti di Matematica]]
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| | series = V Serie,
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| | volume = 23
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| | issue = 1–2
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| | year = 1953
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| | pages = 221–249
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| | url =
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| | doi =
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| | mr = 0211370
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| | zbl = 0123.15203
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| }}. "''Function theory on commutative complex algebras with modulus''" (English translation of the title).
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| *{{Citation
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| | last = Rizza
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| | first = Giovanni Battista
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| | author-link =
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| | contribution = On Dirichlet's problem for components of analytic functions of several complex variables
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| | contribution-url = http://www.mathunion.org/ICM/ICM1954.2/Main/icm1954.2.0160.0161.ocr.pdf
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| | series = [[International Congress of Mathematicians|ICM Proceedings]]
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| | title = Proceedings of the International Congress of Mathematicians, 1954. Volume II
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| | pages = 161–162
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| | year = 1954
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| | place = [[Amsterdam]]–[[Groningen (city)|Groningen]]
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| | publisher = [[Springer Science+Business Media|Erven P. Noordhoff N.V.]] / [[North-Holland Publishing Company]]
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| | url = http://www.mathunion.org/ICM/ICM1954.2/
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| | id =
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| | mr =
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| | zbl =
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| }}. A short research announcement describing briefly the results proved in {{harv|Rizza|1955}}.
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| *{{Citation
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| | last = Rizza
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| | first = G. B.
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| | author-link =
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| | title = Dirichlet problem for ''{{math|n}}''-harmonic functions and related geometrical problems
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| | journal = [[Mathematische Annalen]]
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| | volume = 130
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| | pages = 202–218
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| | year = 1955
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| | url = http://www.digizeitschriften.de/dms/img/?PPN=PPN235181684_0130&DMDID=dmdlog33
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| | doi = 10.1007/BF01343349
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| | id =
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| | mr = 0074881
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| | zbl = 0067.33004
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| }}, available at [http://www.digizeitschriften.de/ DigiZeitschirften].
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| *{{Citation
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| | last = Rizza
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| | first = G. B.
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| | author-link =
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| | title = Su diverse estensioni dell’invariante di E. E. Levi nella teoria delle funzioni di più variabili complesse
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| | language = Italian
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| | journal=[[Annali di Matematica Pura e Applicata]]
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| | volume = 44
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| | issue = 1
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| | pages = 73–89
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| | year = 1957
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| | url =
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| | doi = 10.1007/BF02415191
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| | id =
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| | mr = 0095965
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| | zbl = 0091.25903
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| }}. In this, work Rizza epitomizes all known extensions of the [[CR manifold#The Levi form|Levi invariant]] to [[hypersurface]]s in ℂ''<sup>n</sup>'', <math>n</math> > 2 in a single [[tensor]] of hybrid type. This paper is also interesting since it traces the story of such extensions back to the pioneering work of [[Eugenio Elia Levi]].
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| *{{Citation
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| | last = Rizza
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| | first = G. B.
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| | author-link =
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| | editor-first = Francesco
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| | editor-last = Severi
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| | editor-link = Francesco Severi
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| | contribution = Appendice I. Rappresentazione esplicita di tipo integrale per le funzioni ''{{math|r}}''–armoniche. Estensione al caso di ''{{math|r}}'' variabili complesse dell'invariante di E. E. Levi
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| | contribution-url =
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| | title = Lezioni sulle funzioni analitiche di più variabili complesse – Tenute nel 1956–57 all'[[Istituto Nazionale di Alta Matematica]] in [[Rome|Roma]]
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| | language = Italian
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| | place = Padova
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| | publisher = CEDAM – Casa Editrice Dott. Antonio Milani
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| | year = 1958
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| | pages = 219–231
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| | url =
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| | doi =
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| | id =
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| | zbl= 0094.28002
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| | isbn = }}, (in [[Italian language|Italian]]). The notes from the lectures given by Giovanni Battista Rizza during the course "''Lectures on analytic functions of several complex variables''" held by Francesco Severi at the [[Istituto Nazionale di Alta Matematica]] (which includes also a chapter by Enzo Martinelli and an appendix by [[Mario Benedicty]]). The topics he exposes are summarized by the two parts of the title, whose English translations are "''Explicit integral representation for <math>r</math>–harmonic functions''" and "''Extension of the [[CR manifold#The Levi form|E. E. Levi invariant]] to the case of <math>r</math> complex variables''".
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| *{{Citation
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| | last = Rizza
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| | first = Giovanni Battista
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| | author-link =
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| | contribution = Finsler structures on almost complex manifolds
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| | contribution-url =
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| | series = [[International Congress of Mathematicians|ICM Proceedings]]
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| | title = Proceedings of the International Congress of Mathematicians, Stockholm.
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| | pages =
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| | year = 1962a
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| | place = [[Stockholm]]
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| | publisher =
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| | url =
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| | id =
| |
| | mr =
| |
| | zbl =
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| }}. A short research announcement describing briefly the results proved in {{harv|Rizza|1963}}.
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| *{{Citation
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| | last = Rizza
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| | first = Giovanni Battista
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| | author-link =
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| | title = Strutture di Finsler sulle varietà quasi complesse
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| | language = Italian
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| | journal = Rendiconti della [[Accademia Nazionale dei Lincei]], Classe di Scienze Fisiche, Matematiche e Naturali
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| | series = Serie VIII,
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| | volume = 33
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| | issue = 5
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| | pages = 271–275
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| | year = 1962b
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| | mr =
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| | zbl =
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| }}. Another short presentation of the results proved in {{harv|Rizza|1963}}: the English translation of the title reads as:-"''Finsler structures on almost complex manifolds''".
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| *{{Citation
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| | last = Rizza
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| | first = Giovanni Battista
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| | author-link =
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| | title = Strutture di Finsler di tipo quasi Hermitiano
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| | language = Italian
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| | journal = Rivista di Matematica della Università di Parma
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| | series = (2)
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| | volume = 4
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| | pages = 83–106
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| | year = 1963
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| | url = http://www.math.unipr.it/~rivista/dati/INDICI/indice63.html
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| | id =
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| | mr = 0166742
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| | zbl = 0129.14101
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| }}. The article giving the proofs of the results previously announced in references {{harv|Rizza|1962a}} and {{harvtxt|Rizza|1962b}}: the English translation of the title reads as:-"''Finsler structures of almost Hermitian type''".
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| *{{citation
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| | last = Rizza
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| | first = Giovanni Battista
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| | author-link =
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| | title = '''F'''-forme quadratiche ed hermitiane
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| | language = Italian
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| | journal = [[Rendiconti di Matematica e delle Sue Applicazioni|Rendiconti di Matematica]]
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| | series = V Serie,
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| | volume = 23
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| | issue = 1–2
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| | year = 1964
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| | pages = 221–249
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| | url =
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| | doi =
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| | mr = 0211370
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| | zbl = 0123.15203
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| }}. This article is the one [[Shoshichi Kobayashi]] cites as the first one in the theory of Rizza manifolds: an English translation of the title reads as:-"''Hermitian and quadratic '''F'''-forms''".
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| *{{Citation
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| | last = Dentoni
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| | first = Paolo
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| | author-link =
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| | last2 = Rizza
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| | first2 = Giovanni Battista
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| | author2-link =
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| | title = Una nuova classe di funzioni in un'algebra reale
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| | journal = [[Rendiconti dell'Istituto di Matematica dell'Università di Trieste]]
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| | volume = 4
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| | pages = 171–181
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| | year = 1972
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| | language = Italian
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| | url = http://rendiconti.dmi.units.it/volumi/04/17.pdf
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| | doi =
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| | id =
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| | mr = 492318
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| | zbl = Zbl 0251.30050
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| }}. "''A new class of functions on a real algebra''" (English translation of the title) the authors introduce a new class of functions on a real algebra in the attempt of unifying the research trends on functions on real algebras in the seventies.
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| *{{Citation
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| | last = Rizza
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| | first = Giovanni Battista
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| | author-link =
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| | title = Contributi recenti alla teoria delle funzioni nelle algebre
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| | journal = [[Rendiconti del Seminario Matematico e Fisico di Milano]]
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| | volume = 43
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| | issue = 1
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| | pages = 45–54
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| | date = 12 December 1973
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| | origyear =
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| | month =
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| | language = Italian
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| | url = http://dx.doi.org/10.1007/BF02924838
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| | doi = 10.1007/BF02924838
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| | id =
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| | mr = 0350025
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| | zbl = 0325.30040
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| }}. "''Recent contributions to the theory of functions on algebras''" (English translation of the title) is a short but comprehensive survey paper detailing the works on the field done by Italian mathematicians during the years from 1961 to 1973: however, it also includes several biographical references to other earlier works by non Italian mathematicians, including historical bibliographies on hypercomplex analysis.
| |
| | |
| ===Historical and commemorative papers===
| |
| | |
| *{{Citation
| |
| | last = Rizza
| |
| | first = Giovanni Battista
| |
| | author-link =
| |
| | title = Enzo Martinelli: Scienziato e Maestro
| |
| | language = Italian
| |
| | journal = [http://www.math.unipr.it/~rivista/ Rivista di Matematica della Università di Parma]
| |
| | series = (4)
| |
| | volume = 10<sup>*</sup>
| |
| | pages = 1–10
| |
| | year = 1984
| |
| | url =
| |
| | doi =
| |
| | id =
| |
| | mr = 0777308
| |
| | zbl = 0557.01011
| |
| }}. "''Enzo Martinelli: Scientist and Master''" (English translation of the title) is a paper written by Rizza to honor his former master.
| |
| *{{Citation
| |
| | last = Rizza
| |
| | first = Giovanni Battista
| |
| | author-link =
| |
| | title = Commemorazione di Enzo Martinelli
| |
| | language = Italian
| |
| | journal = Bollettino della Unione Matematica Italiana. Sezione A. La Matematica nella Società e nella Cultura
| |
| | series = Serie VIII
| |
| | volume = 5-A
| |
| | pages = 163–176
| |
| |date=April 2002
| |
| | url =
| |
| | doi =
| |
| | id =
| |
| | mr = 1924344
| |
| | zbl = 1194.01133
| |
| }}. The "''Commemoration of Enzo Martinelli''" written by Rizza.
| |
| | |
| ==See also==
| |
| *[[Almost complex manifold]]
| |
| *[[Complex manifold]]
| |
| *[[Kähler manifold]]
| |
| *[[Pluriharmonic function]]
| |
| *[[Pseudoconvexity]]
| |
| *[[Rizza manifold]]
| |
| *[[Several complex variables]]
| |
| | |
| ==Notes==
| |
| {{Reflist|29em}}
| |
| | |
| ==Biographical references==
| |
| *{{Citation
| |
| | last = Balkan Society of Geometers
| |
| | first =
| |
| | author-link = Balkan Society of Geometers
| |
| | title = The list of members of the Balkan Society of Geometers
| |
| | date = 24 July 2011
| |
| | url = http://www.mathem.pub.ro/dept/BSG-members.pdf
| |
| | accessdate = April 19, 2011
| |
| }}.
| |
| *{{Citation
| |
| | last = Bollettino UMI
| |
| | author-link = Unione Matematica Italiana
| |
| | title = Notizie (Notices)
| |
| | language = Italian
| |
| | journal = Bollettino dell'Unione Matematica Italiana
| |
| | series = Serie III
| |
| | volume = 9
| |
| | issue = 4
| |
| | pages = 467–490
| |
| | year = 1954
| |
| | url = http://www.bdim.eu/item?id=BUMI_1954_3_9_4_467_0
| |
| | id =
| |
| | mr =
| |
| | zbl =
| |
| }}. This paper includes the official relation of the judging commission for the awarding of the [[Ottorino Pomini Prize]] in 1954, jointly won by [[Gabriele Darbo]] and Giovanni Battista Rizza.
| |
| *{{Citation
| |
| | last = Bollettino UMI
| |
| | author-link = Unione Matematica Italiana
| |
| | title = Notizie (Notices)
| |
| | language = Italian
| |
| | journal = Bollettino dell'Unione Matematica Italiana
| |
| | series = Serie III
| |
| | volume = 17
| |
| | issue = 1
| |
| | pages = 120–157
| |
| | year = 1962
| |
| | url = http://www.bdim.eu/item?id=BUMI_1962_3_17_1_120_0
| |
| | id =
| |
| | mr =
| |
| | zbl =
| |
| }}. This paper includes the official announcement of the winning by Giovanni Battista Rizza of the chair of "''Geometria analitica con elementi di Geometria Proiettiva e Geometria Descrittiva con Disegno''" awarded by the [[University of Parma]].
| |
| *{{Citation
| |
| | editor-last = The Editorial Board
| |
| | editor-first =
| |
| | editor2-last =
| |
| | editor2-first =
| |
| | contribution = Professori ordinari
| |
| | contribution-url =
| |
| | series = Annuario dell'Università di Parma
| |
| | volume = A.A. 1964/1965
| |
| | year = 1965
| |
| | place = [[Parma]]
| |
| | publisher = [[Università degli Studi di Parma]]
| |
| | url =
| |
| | doi =
| |
| }}.
| |
| *{{Citation
| |
| | editor-last = The Editorial Board
| |
| | editor-first =
| |
| | editor2-last =
| |
| | editor2-first =
| |
| | contribution = Professori ordinari
| |
| | contribution-url =
| |
| | series = Annuario dell'Università di Parma
| |
| | volume = A.A. 1979/80
| |
| | year = 1980
| |
| | place = [[Parma]]
| |
| | publisher = [[Università degli Studi di Parma]]
| |
| | url =
| |
| | doi =
| |
| }}.
| |
| *{{Citation
| |
| | editor-last = The Editorial Board
| |
| | editor-first =
| |
| | editor2-last =
| |
| | editor2-first =
| |
| | contribution = Professori ordinari
| |
| | contribution-url =
| |
| | series = Annuario dell'Università di Parma
| |
| | volume = A.A. 1994/95
| |
| | year = 1995
| |
| | place = [[Parma]]
| |
| | publisher = [[Università degli Studi di Parma]]
| |
| | url =
| |
| | doi =
| |
| }}.
| |
| *{{Citation
| |
| | last = Martinelli
| |
| | first = E.
| |
| | author-link = Enzo Martinelli
| |
| | editor-last = Donnini
| |
| | editor-first = S.
| |
| | editor2-last = Gigante
| |
| | editor2-first = G.
| |
| | editor3-last = Mangione
| |
| | editor3-first = V.
| |
| | contribution = Omaggio a Giovanni Battista Rizza in occasione del suo 70° compleanno
| |
| | contribution-url =
| |
| | title = Geometria differenziale – Analisi complessa. Convegno internazionale – Parma, 19–20 maggio 1994 in occasione del 70° compleanno di G. B. Rizza
| |
| | language = Italian
| |
| | journal = [[Rivista di Matematica della Università di Parma]]
| |
| | series = 5<sup>a</sup> Serie,
| |
| | volume = 3
| |
| | issue = I
| |
| | year = 1994
| |
| | pages = 1–2
| |
| | url = http://rivista.math.unipr.it/vols/1994-3-I/indice.html
| |
| | id =
| |
| | mr =
| |
| | zbl =
| |
| }}. A tribute to Giovanni Battista Rizza by his former master [[Enzo Martinelli]]: an English translation of the title reads as:-"''Homage to Giovanni Battista Rizza on his 70th birthday''".
| |
| *{{Citation
| |
| | last = Il Ministro dell'Università e della Ricerca Scientifica e Tecnologica
| |
| | author-link = Ministry of Education, Universities and Research
| |
| | title = Decreto Ministeriale 17 Febbraio 1999
| |
| | date = 19 February 1999
| |
| | url =
| |
| | accessdate =}}. The "''Ministerial Decree''" awarding the title of "Professor Emeritus" to Giovanni Battista Rizza
| |
| *{{Citation
| |
| | last = Presidenza della Repubblica Italiana
| |
| | author-link =
| |
| | title = Medaglia d'oro ai benemeriti della scuola della cultura e dell'arte: Giovanni Battista Rizza
| |
| | date = July 31, 1973
| |
| | url = http://www.quirinale.it/elementi/DettaglioOnorificenze.aspx?decorato=8067
| |
| | accessdate = May 31, 2011}}.
| |
| *{{Citation
| |
| | last = Rivista di Matematica della Università di Parma
| |
| | first = (the Editorial Board of)
| |
| | author-link =
| |
| | title = "History"
| |
| | date = 12 December 2013
| |
| | url = http://rivista.math.unipr.it/aboutus.html
| |
| | accessdate = January 12, 2013
| |
| }}.
| |
| *{{Citation
| |
| | last = Roghi
| |
| | first = G.
| |
| | author-link = Gino Roghi
| |
| | title = Materiale per una storia dell'Istituto Nazionale di Alta Matematica dal 1939 to 2003.
| |
| | journal = [[Bollettino della Unione Matematica Italiana|Bollettino della Unione Matematica Italiana, Sezione A, La Matematica nella Società e nella Cultura]]
| |
| | series = Serie VIII
| |
| | volume = 8-A
| |
| | issue = 3, parte 2
| |
| | pages = x+301
| |
| |date=December 2005
| |
| | language = Italian
| |
| | url =
| |
| | doi =
| |
| | mr = 2225078
| |
| | zbl = 1089.01500
| |
| }}. This is a [[monograph]]ic [[Serial (literature)|fascicle]] published on the "Bollettino della Unione Matematica Italiana", describing the history of the [[Istituto Nazionale di Alta Matematica Francesco Severi]] from its foundation in 1939 to 2003: an English [[translation]] of the title reads as:-"''Materials toward a history of the Istituto Nazionale di Alta Matematica from 1939 to 2003''". It was written by [[Gino Roghi]] and includes a presentation by Salvatore Coen and a preface by [[Corrado De Concini]]. It is almost exclusively based on [[Information source|sources]] from the institute archives: the wealth and variety of materials included, jointly with its [[Addendum#In books|appendices]] and [[Index (publishing)|indexes]], make this monograph a useful reference not only for the history of the [[institute]] itself, but also for the history of many [[mathematician]]s who taught or followed the institute courses or simply worked there.
| |
| *{{Citation
| |
| | last = Schreiber
| |
| | first = Bruno
| |
| | author-link =
| |
| | title = Curriculum Vitæ di Giambattista Rizza
| |
| | publisher = Istituto di Matematica dell'Università di Parma
| |
| | pages = 4
| |
| | date =
| |
| | year = 1973
| |
| | month =
| |
| | language = Italian
| |
| | url =
| |
| }}. The official 1973 CV of Giovanni Battista Rizza, available from the Institute of Mathematics of the University of Parma.
| |
| *{{Citation
| |
| | last = Tensor Society
| |
| | first =
| |
| | author-link = Tensor Society
| |
| | title = List of life members of the Tensor Society
| |
| | year = 2010
| |
| | url = http://www.tensorsociety.org/images/Life-Members.pdf
| |
| | accessdate = 14 July 2013
| |
| }}.
| |
| *{{Citation
| |
| | first = Giancarlo
| |
| | last = Venturini
| |
| | author-link =
| |
| | contribution = Prolusione all'apertura dell'A.A. 1962/63
| |
| | contribution-url =
| |
| | series = Annuario dell'Università di Parma
| |
| | volume = A.A. 1962/63
| |
| | year = 1963
| |
| | place = [[Parma]]
| |
| | publisher = [[Università degli Studi di Parma]]
| |
| | url =
| |
| | doi =
| |
| }}. The opening address on the occasion of the beginning of the [[academic year]] 1962/63, given by the [[Rector (academic)|Magnifico Rettore]] prof. G. Venturini.
| |
| | |
| ==References==
| |
| *{{Citation
| |
| | last = Aikou
| |
| | first = Tadashi
| |
| | author-link =
| |
| | editor-last = Bao
| |
| | editor-first = David
| |
| | editor2-last = Bryant
| |
| | editor2-first = Robert L.
| |
| | editor3-last = Chern
| |
| | editor3-first = Shiing-Shen
| |
| | editor3-link = Shiing-Shen Chern
| |
| | editor4-last = Shen
| |
| | editor4-first = Zhongmin
| |
| | contribution = Finsler Geometry on Complex Vector Bundles
| |
| | contribution-url = http://library.msri.org/books/Book50/files/04Ai.pdf
| |
| | title = A Sampler of Riemann–Finsler Geometry
| |
| | place = Cambridge
| |
| | publisher = [[Cambridge University Press]]
| |
| | series = Mathematical Sciences Research Institute Publications
| |
| | volume = 50
| |
| | year = 2004
| |
| | pages = 83–105
| |
| | language =
| |
| | url = http://library.msri.org/books/Book50/contents.html
| |
| | doi =
| |
| | id =
| |
| | isbn = 0-521-83181-4
| |
| | mr = 2132658
| |
| | zbl = 1073.53093
| |
| }}.
| |
| *{{Citation
| |
| | last = Ichijyō
| |
| | first = Yoshihiro
| |
| | author-link =
| |
| | title = Finsler metrics on almost complex manifolds
| |
| | journal=Rivista di Matematica della Università di Parma
| |
| | series = (IV)
| |
| | volume = 14*
| |
| | pages = 1–28
| |
| | year = 1988
| |
| | url = http://www.math.unipr.it/~rivista/dati/INDICI/indspe88.html
| |
| | id =
| |
| | mr = 1045035
| |
| | zbl = 0885.53031
| |
| }}.
| |
| *{{Citation
| |
| | last = Kobayashi
| |
| | first = Shoshichi
| |
| | author-link = Shoshichi Kobayashi
| |
| | title = Negative vector bundles and complex Finsler structures
| |
| | journal=Nagoya Mathematical Journal
| |
| | volume = 57
| |
| | pages = 153–166
| |
| | year = 1975
| |
| | url = http://projecteuclid.org/euclid.nmj/1118795367
| |
| | id =
| |
| | mr = 0377126
| |
| | zbl = 0326.32016
| |
| }}. In this paper, [[Shoshichi Kobayashi]] acknowledges Giovanni Battista Rizza as the first one to study [[complex manifold]]s with [[Finsler manifold|Finsler structure]], now called [[Rizza manifold]]s.
| |
| *{{Citation
| |
| | last = Severi
| |
| | first = Francesco
| |
| | author-link = Francesco Severi
| |
| | title = Lezioni sulle funzioni analitiche di più variabili complesse – Tenute nel 1956–57 all'Istituto Nazionale di Alta Matematica in [[Rome|Roma]]
| |
| | place = Padova
| |
| | publisher = CEDAM – Casa Editrice Dott. Antonio Milani
| |
| | year = 1958
| |
| | pages = XIV+255
| |
| | language = Italian
| |
| | url =
| |
| | doi =
| |
| | id =
| |
| | zbl= 0094.28002
| |
| | isbn = }}, (in [[Italian language|Italian]]). Notes from a course held by Francesco Severi at the [[Istituto Nazionale di Alta Matematica]] (which at present bears his name), containing appendices of Enzo Martinelli, Giovanni Battista Rizza and [[Mario Benedicty]]. An English translation of the title reads as:-"''Lectures on analytic functions of several complex variables – Lectured in 1956–57 at the Istituto Nazionale di Alta Matematica in Rome''".
| |
| | |
| ==External links==
| |
| *{{Citation
| |
| | editor-last = Donnini
| |
| | editor-first = S.
| |
| | editor2-last = Gigante
| |
| | editor2-first = G.
| |
| | editor3-last = Mangione
| |
| | editor3-first = V.
| |
| | title = Geometria differenziale – Analisi complessa. Convegno internazionale – Parma, 19–20 maggio 1994 in occasione del 70° compleanno di G. B. Rizza
| |
| | journal=Rivista di Matematica della Università di Parma
| |
| | series = Serie 5,
| |
| | volume = 3
| |
| | number = Parte I
| |
| | year = 1994
| |
| | url = http://rivista.math.unipr.it/vols/1994-3-I/indice.html
| |
| | id =
| |
| }}. The [[proceedings]] of the international [[meeting]] "''Differential Geometry – Complex analysis''" held in Parma on May 19–20, 1994 to honor Giovanni Battista Rizza's 70th birthday, published by the [[Rivista di Matematica della Università di Parma]]. The first speaker was his former master [[Enzo Martinelli]].
| |
| | |
| {{Persondata
| |
| | NAME = Rizza, Giovanni Battista
| |
| | ALTERNATIVE NAMES = Rizza, Giambattista
| |
| | SHORT DESCRIPTION = Italian Mathematician
| |
| | DATE OF BIRTH = February 7, 1924
| |
| | PLACE OF BIRTH = [[Piazza Armerina]]
| |
| | DATE OF DEATH =
| |
| | PLACE OF DEATH =
| |
| }}
| |
| {{DEFAULTSORT:Rizza, Giovanni Battista}}
| |
| [[Category:1924 births]]
| |
| [[Category:20th-century Italian mathematicians]]
| |
| [[Category:21st-century mathematicians]]
| |
| [[Category:Complex analysts]]
| |
| [[Category:Differential geometers]]
| |
| [[Category:Living people]]
| |
| [[Category:Mathematical analysts]]
| |
| [[Category:People from Piazza Armerina]]
| |