A Finsler Geodesic Flow on $T^2$ With Positive Metric Entropy
Differential Geometry
2021-02-08 v2 Dynamical Systems
Abstract
We use a theorem of P. Berger and D. Turaev to construct an example of a Finsler geodesic flow on the 2-torus with a transverse section, such that its Poincar\'e return map has positive metric entropy. The Finsler metric generating the flow can be chosen to be arbitrarily -close to a flat metric.
Cite
@article{arxiv.2102.00469,
title = {A Finsler Geodesic Flow on $T^2$ With Positive Metric Entropy},
author = {Stefan Klempnauer},
journal= {arXiv preprint arXiv:2102.00469},
year = {2021}
}