Closed geodesics on surfaces without conjugate points
Dynamical Systems
2021-05-25 v2 Differential Geometry
Abstract
We obtain Margulis-type asymptotic estimates for the number of free homotopy classes of closed geodesics on certain manifolds without conjugate points. Our results cover all compact surfaces of genus at least 2 without conjugate points.
Cite
@article{arxiv.2008.02249,
title = {Closed geodesics on surfaces without conjugate points},
author = {Vaughn Climenhaga and Gerhard Knieper and Khadim War},
journal= {arXiv preprint arXiv:2008.02249},
year = {2021}
}
Comments
35 pages, 2 figures