Article Contents
Article Contents

# $C^1$-differentiable conjugacy of Anosov diffeomorphisms on three dimensional torus

• 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.
Mathematics Subject Classification: Primary: 37C15, 37D20; Secondary: 34D10.

 Citation: