Differentiable Conjugacy of Anosov Diffeomorphisms on Three Dimensional Torus

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

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Dynamical Systems, 37C15, 37D20

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http://salesiana.dossiersoluciones.com/handle/123456789/168060

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0802.1720
 http://arxiv.org/abs/0802.1720

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arXiv