Equicontinuous Geodesic Flows
Dynamical Systems
2007-10-23 v1 Differential Geometry
Abstract
The author shows that equicontinuous geodesic flows on surfaces are periodic. A similar result for flows on 3-manifolds is also proven. The idea of the proof is to show that the return map is recurrent and therefore periodic.
Cite
@article{arxiv.0710.4016,
title = {Equicontinuous Geodesic Flows},
author = {Christian Pries},
journal= {arXiv preprint arXiv:0710.4016},
year = {2007}
}
Comments
14 pages