STABLY POSITIVE LYAPUNOV EXPONENTS FOR SYMPLECTIC LINEAR COCYCLES OVER PARTIALLY HYPERBOLIC DIFFEOMORPHISMS

被引：6

作者：

Poletti, Mauricio ^{[1
]}

机构：

[1] Univ Paris 13, LAGA, 99 Av Jean Baptiste Clement, F-93430 Villetaneus, France

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2018年 / 38卷 / 10期

关键词：

Lyapunov exponents; partially hyperbolic diffeomorphism; linear cocyles; symplectic cocycles; Anosov flows;

D O I：

10.3934/dcds.2018228

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider Sp(2d, R) cocycles over two classes of partially hyperbolic diffeomorphisms: having compact center leaves and time one maps of Anosov flows. We prove that the Lyapunov exponents are non-zero in an open and dense set in the Holder topology.

引用

页码：5163 / 5188

页数：26

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