Differentiable Conjugacy of Anosov Diffeomorphisms on Three Dimensional Torus

Details Differentiable Conjugacy of Anosov Diffeomorphisms on Three Dimensional Torus Differentiable Conjugacy of Anosov Diffeomorphisms on Three Dimensional Torus

2008-02-12

arxiv.org/abs/0802.1720v2

Mathematics

Dynamical Systems

Several minor errors are fixed. 18 pages, 6 figures. Comments are welcome

Scientific paper

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+ conjugate if and only if the differentials of the return
maps at corresponding periodic points have the same eigenvalues.

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