HOPF RIGIDITY FOR CONVEX BILLIARDS ON THE HEMISPHERE AND HYPERBOLIC PLANE

被引：21

作者：

Bialy, Misha ^{[1
]}

机构：

[1] Tel Aviv Univ, Raymond & Beverly Sackler Fac Exact Sci, Sch Math Sci, Tel Aviv, Israel

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2013年 / 33卷 / 09期

关键词：

Birkhoff conjecture; billiards; conjugate points; integrable systems; TORI;

D O I：

10.3934/dcds.2013.33.3903

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with Hopf type rigidity for convex billiards on surfaces of constant curvature. I prove that the only convex billiard without conjugate points on the hyperbolic plane or on the hemisphere is a circular billiard.

引用

页码：3903 / 3913

页数：11

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