Topology of Liouville Foliations for Integrable Billiards in Non-Convex Domains

被引：4

作者：

Moskvin, V. A. ^{[1
]}

机构：

[1] Moscow MV Lomonosov State Univ, Fac Mech & Math, Moscow 119991, Russia

来源：

MOSCOW UNIVERSITY MATHEMATICS BULLETIN | 2018年 / 73卷 / 03期

基金：

俄罗斯基础研究基金会;

关键词：

D O I：

10.3103/S002713221803004X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Plane billiards are studied in non-convex domains bounded by arcs of confocal quadrics and in domains bounded by segments of mutually perpendicular straight lines. The topology of isoenergetic surfaces of such billiards is studied by calculating rough Liouville equivalence invariants known as Fomenko molecules.

引用

页码：103 / 110

页数：8

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