Entropy-expansiveness of geodesic flows on closed manifolds without conjugate points |
| |
Authors: | Fei Liu Fang Wang |
| |
Institution: | 1. College of Mathematics and System Science, Shandong University of Science and Technology, Qingdao 266590, P. R. China;
2. School of Mathematical Sciences, Capital Normal University, Beijing 100048, P. R. China and Beijing Center for Mathematics and Information Interdisciplinary Sciences(BCMIIS), Beijing 100048, P. R. China |
| |
Abstract: | In this article, we consider the entropy-expansiveness of geodesic flows on closed Riemannian manifolds without conjugate points. We prove that, if the manifold has no focal points, or if the manifold is bounded asymptote, then the geodesic flow is entropy-expansive. Moreover, for the compact oriented surfaces without conjugate points, we prove that the geodesic flows are entropy-expansive. We also give an estimation of distance between two positively asymptotic geodesics of an uniform visibility manifold. |
| |
Keywords: | Entropy-expansiveness geodesic flows manifolds without conjugate points |
本文献已被 CNKI SpringerLink 等数据库收录! |
| 点击此处可从《数学学报(英文版)》浏览原始摘要信息 |
| 点击此处可从《数学学报(英文版)》下载免费的PDF全文 |
|