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.
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页码：3903 / 3913
页数：11
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