Closed Magnetic Geodesics on $S^2$
Differential Geometry
2010-11-24 v4 Dynamical Systems
Abstract
We give existence results for simple closed curves with prescribed geodesic curvature on , which correspond to periodic orbits of a charge in a magnetic field.
Keywords
Cite
@article{arxiv.0808.4038,
title = {Closed Magnetic Geodesics on $S^2$},
author = {Matthias Schneider},
journal= {arXiv preprint arXiv:0808.4038},
year = {2010}
}
Comments
35 pages, added references, corrected typos; added multiplicity result