NON-ZERO LYAPUNOV EXPONENTS FOR SOME CONSERVATIVE PARTIALLY HYPERBOLIC SYSTEMS

被引:0
|
作者
Zhou, Yunhua [1 ]
机构
[1] Chongqing Univ, Coll Math & Stat, Chongqing 401331, Peoples R China
关键词
Lyapunov exponents; partial hyperbolicity; domination; NONUNIFORM HYPERBOLICITY; STABLE ERGODICITY; DIFFEOMORPHISMS;
D O I
10.1090/S0002-9939-2015-12498-7
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Let PH mu 1(M, 3) be the set of C-1 conservative partially hyperbolic diffeomorphisms with center dimensions three or less. We prove that there is a dense subset H subset of PH mu 1(M, 3) such that each f is an element of H has non-zero Lyapunov exponents on a set of positive volume.
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页码:3147 / 3153
页数:7
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