Closed magnetic geodesics on closed hyperbolic Riemann surfaces
Differential Geometry
2014-02-26 v1 Dynamical Systems
Abstract
We prove the existence of Alexandrov embedded closed magnetic geodesics on closed hyperbolic surfaces. Closed magnetic geodesics correspond to closed curves with prescribed geodesic curvature.
Cite
@article{arxiv.1009.1723,
title = {Closed magnetic geodesics on closed hyperbolic Riemann surfaces},
author = {Matthias Schneider},
journal= {arXiv preprint arXiv:1009.1723},
year = {2014}
}
Comments
29 pages