SHORT CLOSED GEODESICS ON CUSPED HYPERBOLIC SURFACES

被引：1

作者：

Vo, Hanh ^{[1
]}

机构：

[1] Univ Luxembourg, Dept Math, Esch Sur Alzette, Luxembourg

来源：

PACIFIC JOURNAL OF MATHEMATICS | 2022年 / 318卷 / 01期

关键词：

closed geodesics; hyperbolic surfaces; SELF-INTERSECTION NUMBERS; CURVES; BOUNDS;

D O I：

10.2140/pjm.2022.318.127

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This article deals with the set of closed geodesics on complete finite type hyperbolic surfaces. For any nonnegative integer k, we consider the set of closed geodesics that self-intersect at least k times and investigate those of minimal length. The main result is that, if the surface has at least one cusp, their self-intersection numbers are exactly k for large enough k.

引用

页码：127 / 151

页数：25

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