An entropic characterization of the flat metrics on the two torus
Dynamical Systems
2014-06-04 v1
Abstract
The geodesic flow of the flat metric on a torus is minimizing the polynomial entropy among all geodesic flows on this torus. We prove here that this properties characterises the flat metric on the two torus.
Cite
@article{arxiv.1406.0794,
title = {An entropic characterization of the flat metrics on the two torus},
author = {Patrick Bernard and Clémence Labrousse},
journal= {arXiv preprint arXiv:1406.0794},
year = {2014}
}