English

Minimal length of nonsimple closed geodesics on hyperbolic surfaces

Geometric Topology 2022-07-19 v1

Abstract

In the present paper, we show that the minimal length of closed geodesics on finite-type hyperbolic surfaces with self-intersection number kk has order 2logk2\log k as kk gets large.

Keywords

Cite

@article{arxiv.2207.08360,
  title  = {Minimal length of nonsimple closed geodesics on hyperbolic surfaces},
  author = {Wujie Shen and Jiajun Wang},
  journal= {arXiv preprint arXiv:2207.08360},
  year   = {2022}
}

Comments

12 pages, 6 figures