Diffeomorphisms Holder conjugate to Anosov diffeomorphisms

被引：17
|
作者：
Gogolev, Andrey [1 ]
机构：
[1] Penn State Univ, Dept Math, State Coll, University Pk, PA 16802 USA
来源：
ERGODIC THEORY AND DYNAMICAL SYSTEMS | 2010年 / 30卷
关键词：
D O I：
10.1017/S0143385709000169
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We show by means of a counterexample that a C(1+Lip) diffeomorphism Holder conjugate to an Anosov diffeomorphism is not necessarily Anosov. Also we include a result from the 2006 PhD thesis of Fisher: a C(1+Lip) diffeomorphism Holder conjugate to an Anosov diffeomorphism is Anosov itself provided that Holder exponents of the conjugacy and its inverse are sufficiently large.
引用
收藏
页码：441 / 456
页数：16
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