On classification of resonance-free Anosov Z^k actions
Dynamical Systems
2007-05-23 v2 Differential Geometry
Abstract
We consider actions of Z^k, k \ge 2, by Anosov diffeomorphisms which are uniformly quasiconformal on each coarse Lyapunov distribution. These actions generalize Cartan actions for which coarse Lyapunov distributions are one-dimensional. We show that, under certain non-resonance assumptions on the Lyapunov exponents, a finite cover of such an action is smoothly conjugate to an action by toral automorphisms.
Keywords
Cite
@article{arxiv.math/0608562,
title = {On classification of resonance-free Anosov Z^k actions},
author = {Boris Kalinin and Victoria Sadovskaya},
journal= {arXiv preprint arXiv:math/0608562},
year = {2007}
}
Comments
20 pages. To appear in Michigan Mathematical Journal