Minimal geodesics and topological entropy on T^2
Dynamical Systems
2007-07-05 v1 Differential Geometry
Abstract
Let (T^2, g) be a two-dimensional Riemannian torus. In this paper we prove that the topological entropy of the geodesic flow restricted to the set of initial conditions of minimal geodesics vanishes, independent of the choice of the Riemannian metric.
Cite
@article{arxiv.0707.0673,
title = {Minimal geodesics and topological entropy on T^2},
author = {Eva Leschinsky},
journal= {arXiv preprint arXiv:0707.0673},
year = {2007}
}
Comments
12 pages