Closed geodesics on compact orbifolds and on noncompact manifolds
Differential Geometry
2019-09-24 v1 Group Theory
Abstract
We study the existence of closed geodesics on compact Riemannian orbifolds, and on noncompact Riemannian manifolds in the presence of a cocompact, isometric group action. We show that every noncontractible Riemannian manifold which admits such an action, and every odd-dimensional, compact Riemannian orbifold has a nontrivial closed geodesic.
Keywords
Cite
@article{arxiv.1909.10388,
title = {Closed geodesics on compact orbifolds and on noncompact manifolds},
author = {Christian Lange and Christoph Zwickler},
journal= {arXiv preprint arXiv:1909.10388},
year = {2019}
}
Comments
6 pages