On three-periodic trajectories of multi-dimensional dual billiards

被引：5
|
作者：
Tabachnikov, Serge [1 ]
机构：
[1] Penn State Univ, Dept Math, University Pk, PA 16802 USA
来源：
ALGEBRAIC AND GEOMETRIC TOPOLOGY | 2003年 / 3卷 / 02期
关键词：
Dual billiards; symplectic relation; periodic orbits; Morse and Lusternik-Schnirelman theory;
D O I：
10.2140/agt.2003.3.993
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We consider the dual billiard map with respect to a smooth strictly convex closed hypersurface in linear 2m-dimensional symplectic space and prove that it has at least 2m distinct 3-periodic orbits.
引用
收藏
页码：993 / 1004
页数：12
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