Cohomology of dominated diffeomorphism-valued cocycles over hyperbolic systems

被引：8

作者：

Backes, Lucas H. ^{[1
]}

Kocsard, Alejandro ^{[2
]}

机构：

[1] IMPA, Estr Dona Castorina 110, BR-2460320 Rio De Janeiro, RJ, Brazil

[2] Univ Fed Fluminense, IME, Rua Mario Santos Braga S-N, BR-24020140 Niteroi, RJ, Brazil

来源：

ERGODIC THEORY AND DYNAMICAL SYSTEMS | 2016年 / 36卷

关键词：

ANOSOV SYSTEMS; THEOREM; EQUATION;

D O I：

10.1017/etds.2014.149

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove a rigidity theorem for dominated Holder cocycles with values on diffeomorphism groups of a compact manifold over hyperbolic homeomorphisms. More precisely, we show that if two such cocycles have equal periodic data, then they are cohomologous.

引用

页码：1703 / 1722

页数：20

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