典型文献
On the Integrability of Strictly Convex Billiard Tables with Boundaries Close to Ellipses with Small Eccentricities
文献摘要：
In this paper,we introduce a new notion of integrability for billiard tables,namely,inte-grability away from the boundary.One key feature of our notion is that the integrable region could be disjoint from the boundary with a positive distance.We prove that if a strictly convex billiard table,whose boundary is a small perturbation of an ellipse with small eccentricity,is integrable in this sense,then its boundary must be itself an ellipse.
文献关键词：
中图分类号：
作者姓名：
Guan HUANG
作者机构：
Yau Mathematical Sciences Center,Tsinghua University,Beijing 100084,P.R.China
文献出处：
引用格式：
[1]Guan HUANG-.On the Integrability of Strictly Convex Billiard Tables with Boundaries Close to Ellipses with Small Eccentricities)[J].数学学报（英文版）,2022(01):55-67
A类：
Integrability,Strictly,Billiard,Ellipses,Eccentricities,billiard,grability
B类：
Convex,Tables,Boundaries,Close,Small,this,paper,we,introduce,new,notion,integrability,tables,namely,away,from,boundary,One,key,feature,our,that,integrable,region,could,be,disjoint,positive,distance,We,prove,if,strictly,convex,whose,small,perturbation,ellipse,eccentricity,sense,then,must,itself
AB值：
0.522845
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