Brent's method: Difference between revisions

From formulasearchengine
Jump to navigation Jump to search
← Older editNewer edit →
en>RedWolf
m fixed Java linkage
en>JRSpriggs
fix sup sub problem
Line 1: Line 1:
{{unreferenced|date=December 2013}}
I woke up last week  and [http://Www.Dailymail.Co.uk/home/search.html?sel=site&searchPhrase=noticed+- noticed -] Today I've been solitary for a little while and after much intimidation from buddies I now find myself signed up  luke concert ([http://www.hotelsedinburgh.org www.hotelsedinburgh.org]) for online dating. They assured me that there are plenty of ordinary, pleasant and fun people to meet, therefore the pitch is gone by here!<br>My buddies and household are wonderful and spending time together at bar gigabytes or meals is consistently  [http://lukebryantickets.flicense.com vip tickets for luke bryan] vital. As I  [http://lukebryantickets.pyhgy.com luke bryan Concert videos] locate that one may not have a significant conversation using the sound I haven't ever been in to cabarets. I also got 2 undoubtedly cheeky and really cunning canines that are almost always ready to meet fresh people.<br>I attempt to stay as physically healthy as potential being at the gym several-times a week. I enjoy my athletics and try to play or see because many a possible. Being winter I will frequently at Hawthorn matches. Notice: I've noticed the carnage of fumbling suits at stocktake revenue, In case that you will considered shopping a hobby I don't brain.<br><br><br><br>Feel free to visit my webpage: [http://lukebryantickets.iczmpbangladesh.org kenny chesney pittsburgh]
In [[mathematics]], a '''taut foliation''' is a [[codimension]] 1 [[foliation]] of a [[3-manifold]] with the property that there is a single transverse circle intersecting every leaf.  By transverse circle, is meant a closed loop that is always transverse to the tangent field of the foliation.  Equivalently, by a result of [[Dennis Sullivan]], a codimension 1 foliation is taut if there exists a [[Riemannian metric]] that makes each leaf a [[minimal surface]].
 
Taut foliations were brought to prominence by the work of [[William Thurston]] and [[David Gabai]].
 
==Related concepts==
Taut foliations are closely related to the concept of [[Reebless foliation]]. A taut foliation cannot have a [[Reeb component]], since the component would act like a "dead-end" from which a transverse curve could never escape; consequently, the boundary torus of the Reeb component has no transverse circle puncturing it. A Reebless foliation can fail to be taut but the only leaves of the foliation with no puncturing transverse circle must be compact, and in particular, homeomorphic to a torus.
 
==Properties==
The existence of a taut foliation implies various useful properties about a closed 3-manifold.  For example, a closed, orientable 3-manifold, which admits a taut foliation with no sphere leaf, must be [[irreducible (mathematics)|irreducible]], covered by <math>\mathbb R^3</math>, and have [[negatively curved group|negatively curved]] [[fundamental group]].
 
==Rummler–Sullivan theorem==
By a theorem of Rummler and Sullivan the following conditions are equivalent for transversely orientable codimension one foliations <math>\left(M,{\mathcal{F}}\right)</math> of closed, orientable, smooth manifolds M:
*<math>\mathcal{F}</math> is taut;
*there is a flow transverse to <math>\mathcal{F}</math> which preserves some volume form on M;
*there is a Riemannian metric on M for which the leaves of <math>\mathcal{F}</math> are least area surfaces.
 
[[Category:3-manifolds]]
[[Category:Foliations]]

Revision as of 09:01, 27 February 2014

I woke up last week and noticed - Today I've been solitary for a little while and after much intimidation from buddies I now find myself signed up luke concert (www.hotelsedinburgh.org) for online dating. They assured me that there are plenty of ordinary, pleasant and fun people to meet, therefore the pitch is gone by here!
My buddies and household are wonderful and spending time together at bar gigabytes or meals is consistently vip tickets for luke bryan vital. As I luke bryan Concert videos locate that one may not have a significant conversation using the sound I haven't ever been in to cabarets. I also got 2 undoubtedly cheeky and really cunning canines that are almost always ready to meet fresh people.
I attempt to stay as physically healthy as potential being at the gym several-times a week. I enjoy my athletics and try to play or see because many a possible. Being winter I will frequently at Hawthorn matches. Notice: I've noticed the carnage of fumbling suits at stocktake revenue, In case that you will considered shopping a hobby I don't brain.



Feel free to visit my webpage: kenny chesney pittsburgh

Retrieved from "https://en.formulasearchengine.com/index.php?title=Brent%27s_method&oldid=237335"