Differentiable Conjugacy of Anosov Diffeomorphisms on Three Dimensional Torus
Abstract
We consider two C2 Anosov diffeomorphisms in a C1 neighborhood of a linear hyperbolic automorphism of three dimensional torus with real spectrum. We prove that they are C1+ conjugate if and only if the differentials of the return maps at corresponding periodic points have the same eigenvalues.
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