T^(2m)×R^(2n)上阿诺德弦猜想中的变分方法(英文)  

Variational Method to Arnold's Chord Conjecture in T^(2m) ×R^(2n) 

作　　者：马仁义[1] 张培云[1] 

机构地区：[1]清华大学数学系,北京100084

出　　处：《应用数学》2005年第1期21-27,共7页Mathematica Applicata

基　　金：SupportbyNSF( 1 9871 0 4 4)

摘　　要：本文用变分方法证明T2m ×R2n 上限定型的勒让德子流形至少存在一个Reeb弦连结它 .另外 。In this article,we use the variational method to prove that for the Legendre submanifold of the restricted type on the closed simply connected contact manifold in T 2m ×R 2n ,there exists at least one Reeb chord connecting it.We also consider some generalizations on the Arnold chord conjecture to the non contact manifolds and prove some existence results.

关 键 词：辛几何 变分方法 弦 

分 类 号：O175.14[理学—数学]