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.
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页码：5163 / 5188
页数：26
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