Anosov Geodesic Flows on Surfaces
Dynamical Systems
2022-11-23 v1 Differential Geometry
Abstract
This paper is an exposition of the major results of P. Eberlein's paper, "When is a geodesic flow of Anosov type? I," in the special case when the manifold is a surface. We follow Eberlein's coverage closely, adding details when helpful, and taking advantage of simplifications given by the dimension two case. The objective is to give readers a more tractable introduction to the important topic of Anosov geodesic flows, which highlights key concepts and arguments without worrying about generalizations to arbitrary dimension.
Cite
@article{arxiv.2211.12429,
title = {Anosov Geodesic Flows on Surfaces},
author = {Hao-Tong Yan},
journal= {arXiv preprint arXiv:2211.12429},
year = {2022}
}