The transitivity of geodesic flows on rank 1 manifolds without focal points

被引：6

作者：

Liu, Fei ^{[1
]}

Zhu, Xiongfeng ^{[1
]}

机构：

[1] Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, Peoples R China

来源：

DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS | 2018年 / 60卷

关键词：

Geodesic flows; No focal points; Transitive; CONJUGATE-POINTS;

D O I：

10.1016/j.difgeo.2018.05.007

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we show that the geodesic flow on a compact rank 1 Riemannian manifold without focal points is transitive, which generalize the classical work of P. Eberlein in the case of nonpositive curvature. (C) 2018 Elsevier B.V. All rights reserved.

引用

页码：49 / 53

页数：5

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