An arithmetic property of the set of angles between closed geodesics on hyperbolic surfaces of finite type

被引：0
作者：
Sugata Mondal
机构：
[1] Indiana University,
来源：
Geometriae Dedicata | 2018年 / 195卷
关键词：
Hyperbolic surfaces; Fuchsian groups; Geodesics; Angles; 53C22; 20H10;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
For a hyperbolic surface S of finite type we consider the set A(S) of angles between closed geodesics on S. Our main result is that there are only finitely many rational multiples of π\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\pi $$\end{document} in A(S).
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页码：241 / 247
页数：6
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