Symmetric Periodic Orbits and Uniruled Real Liouville Domains

被引：1

作者：

Frauenfelder, Urs ^{[1
]}

van Koert, Otto ^{[2
,3
]}

机构：

[1] Univ Augsburg, Dept Math, D-86159 Augsburg, Germany

[2] Seoul Natl Univ, Dept Math, Seoul 08826, South Korea

[3] Seoul Natl Univ, Res Inst Math, Seoul 08826, South Korea

来源：

CHINESE ANNALS OF MATHEMATICS SERIES B | 2016年 / 37卷 / 04期

基金：

新加坡国家研究基金会;

关键词：

Symmetric periodic orbits; Real symplectic manifolds; Real uniruledness; WEINSTEIN CONJECTURE; INVARIANCE;

D O I：

10.1007/s11401-016-1012-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A real Liouville domain is a Liouville domain with an exact anti-symplectic involution. The authors call a real Liouville domain uniruled if there exists an invariant finite energy plane through every real point. Asymptotically, an invariant finite energy plane converges to a symmetric periodic orbit. In this note, they work out a criterion which guarantees uniruledness for real Liouville domains.

引用

页码：607 / 624

页数：18

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