2000 character limit reached
The shortest non-simple closed geodesics on hyperbolic surfaces
Published 24 Oct 2022 in math.GT and math.DG | (2210.12966v2)
Abstract: This article explores closed geodesics on hyperbolic surfaces. We show that, for sufficiently large $k$, the shortest closed geodesics with at least $k$ self-intersections, taken among all hyperbolic surfaces, all lie on an ideal pair of pants and have length $2\arccosh(2k+1)$.
Paper Prompts
Sign up for free to create and run prompts on this paper using GPT-5.
Top Community Prompts
Collections
Sign up for free to add this paper to one or more collections.
