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Closed geodesics on compact orbifolds and on noncompact manifolds
- Publication Year :
- 2019
-
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.<br />Comment: 6 pages
- Subjects :
- Mathematics - Differential Geometry
Mathematics - Group Theory
53C22, 57R18
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1909.10388
- Document Type :
- Working Paper