C1-differentiable conjugacy of Anosov diffeomorphisms on three dimensional torus

被引:0
|
作者
Gogolev, Andrey
Guysinsky, Misha
机构
关键词
Anosov diffeomorphism; smooth conjugacy; periodic data;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We consider two C-2 Anosov diffeomorphisms in a C-1 neighborhood of a linear hyperbolic automorphism of three dimensional torus with real spectrum. We prove that they are C-1+(nu) conjugate if and only if the differentials of the return maps at corresponding periodic points have the same eigenvalues.
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页码:183 / 200
页数:18
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