Volume preserving diffeomorphisms with orbital shadowing

被引：8

作者：

Lee, Keonhee ^{[1
]}

Lee, Manseob ^{[2
]}

机构：

[1] Chungnam Natl Univ, Dept Math, Taejon 305764, South Korea

[2] Mokwon Univ, Dept Math, Taejon 302729, South Korea

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2013年

基金：

新加坡国家研究基金会;

关键词：

normally hyperbolic; hyperbolic; orbital shadowing; shadowing; Anosov;

D O I：

10.1186/1029-242X-2013-18

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let f be a volume-preserving diffeomorphism of a closed C-infinity Riemannian manifold M. In this paper, we show that the following are equivalent: (a) f belongs to the C-1-interior of the set of volume-preserving diffeomorphisms with orbital shadowing, (b) f is Anosov.

引用

页数：5

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