Some Dynamical Properties on Manifolds with no Conjugate Points
Dynamical Systems
2021-08-17 v2
Abstract
In this article, we study the dynamics of geodesic flows on Riemannian (not necessarily compact) manifolds with no conjugate points. We prove the Anosov Closing Lemma, the local product structure, and the transitivity of the geodesic flows on under the conditions of bounded asymptote and uniform visibility. As an application, we further discuss about some generic properties of the set of invariant probability measures
Cite
@article{arxiv.2105.07170,
title = {Some Dynamical Properties on Manifolds with no Conjugate Points},
author = {Fei Liu and Xiaokai Liu and Fang Wang},
journal= {arXiv preprint arXiv:2105.07170},
year = {2021}
}
Comments
38 pages, 14 figures, update references and correct a few typos