Geodesic flows modeled by expansive flows
Dynamical Systems
2017-07-20 v2
Abstract
Given a smooth compact surface without focal points and of higher genus, it is shown that its geodesic flow is semi-conjugate to a continuous expansive flow with a local product structure such that the semi-conjugation preserves time-parametrization. It is concluded that the geodesic flow has a unique measure of maximal entropy.
Cite
@article{arxiv.1703.07455,
title = {Geodesic flows modeled by expansive flows},
author = {Katrin Gelfert and Rafael O. Ruggiero},
journal= {arXiv preprint arXiv:1703.07455},
year = {2017}
}
Comments
to appear in: Proceedings of Edinburgh Mathematical Society