Differentiable Conjugacy of Anosov Diffeomorphisms on Three Dimensional Torus
Dynamical Systems
2008-09-03 v2
Abstract
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.
Cite
@article{arxiv.0802.1720,
title = {Differentiable Conjugacy of Anosov Diffeomorphisms on Three Dimensional Torus},
author = {Andrey Gogolev and Misha Guysinsky},
journal= {arXiv preprint arXiv:0802.1720},
year = {2008}
}
Comments
Several minor errors are fixed. 18 pages, 6 figures. Comments are welcome