Bounds for Minkowski Billiard Trajectories in Convex Bodies

被引：44

作者：

Artstein-Avidan, Shiri ^{[1
]}

Ostrover, Yaron ^{[1
]}

机构：

[1] Tel Aviv Univ, Sch Math Sci, IL-69978 Tel Aviv, Israel

来源：

INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2014年 / 2014卷 / 01期

关键词：

SYMPLECTIC TOPOLOGY; INEQUALITIES; GEOMETRY;

D O I：

10.1093/imrn/rns216

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we use the Ekeland-Hofer-Zehnder symplectic capacity to provide several bounds and inequalities for the length of the shortest periodic billiard trajectory in a smooth convex body in R-n. Our results hold both for classical billiards, as well as for the more general case of Minkowski billiards.

引用

页码：165 / 193

页数：29

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