Short closed geodesics on cusped hyperbolic surfaces
Geometric Topology
2019-12-23 v1 Differential Geometry
Abstract
This article deals with the set of closed geodesics on complete finite type hyperbolic surfaces. For any non-negative integer , we consider the set of closed geodesics that self-intersect at least 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 for large enough .
Cite
@article{arxiv.1912.09967,
title = {Short closed geodesics on cusped hyperbolic surfaces},
author = {Thi Hanh Vo},
journal= {arXiv preprint arXiv:1912.09967},
year = {2019}
}
Comments
20 pages, 10 figures