The Existence of Two Closed Characteristics on Every Compact Star-shaped Hypersurface in R

被引：0
|
作者：
Hui LIU [1 ]
Yi Ming LONG [2 ]
机构：
[1] School of Mathematical Sciences, University of Science and Technology of China
[2] Chern Institute of Mathematics and LPMC, Nankai University
来源：
Acta Mathematica Sinica,English Series | 2016年 / 01期
基金：
中国博士后科学基金;
关键词：
Compact star-shaped hypersurface; closed characteristic; Hamiltonian systems; resonance identity; multiplicity;
D O I：
暂无
中图分类号：
O186.11 [古典微分几何];
学科分类号：
0701 ; 070101 ;
摘要：
Recently, Cristofaro-Gardiner and Hutchings proved that there exist at least two closed characteristics on every compact star-shaped hypersuface in R;. Then Ginzburg, Hein, Hryniewicz,and Macarini gave this result a second proof. In this paper, we give it a third proof by using index iteration theory, resonance identities of closed characteristics and a remarkable theorem of Ginzburg et al.
引用
收藏
页码：40 / 53
页数：14
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