Marked length spectrum of magnetized surfaces
Differential Geometry
2016-08-16 v1
Abstract
The main result presented here is that the flow associated with a riemannian metric and a non zero magnetic field on a compact oriented surface without boundary, under assumptions of hyperbolic type, cannot have the same length spectrum of topologically corresponding periodic orbits as the geodesic flow associated with another riemannian metric having a negative curvature and the same total volume. The main tool is a regularization inspired by U. Hamenst\"adt's methods.
Cite
@article{arxiv.math/0502424,
title = {Marked length spectrum of magnetized surfaces},
author = {Stephane Grognet},
journal= {arXiv preprint arXiv:math/0502424},
year = {2016}
}