Infinite genus surfaces and irrational polygonal billiards

被引：11

作者：

Valdez, Ferran ^{[1
]}

机构：

[1] Max Planck Inst Math, D-53111 Bonn, Germany

来源：

GEOMETRIAE DEDICATA | 2009年 / 143卷 / 01期

关键词：

Flat surface; Infinite genus; Polygonal billiards;

D O I：

10.1007/s10711-009-9378-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that the natural invariant surface associated with the billiard game on an irrational polygonal table is homeomorphic to the Loch Ness monster, that is, the only orientable infinite genus topological real surface with exactly one end.

引用

页码：143 / 154

页数：12

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