Convex Bodies With All Characteristics Planar

被引：0

作者：

Karasev, Roman ^{[1
]}

Sharipova, Anastasiia ^{[2
]}

机构：

[1] Inst Informat Transmiss Problems RAS, Bolshoy Karetnyper 19, Moscow 127994, Russia

[2] Penn State Univ, Dept Math, University Pk, PA 16802 USA

来源：

INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2024年 / 2024卷 / 10期

关键词：

TRAJECTORIES;

D O I：

10.1093/imrn/rnad111

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that smooth and strongly convex bodies in the symplectic R-2n for n > 1 with all characteristics planar, or all outer billiard trajectories planar, are affine symplectic images of balls.

引用

页码：8104 / 8121

页数：18

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