On classification of resonance-free Anosov Z^k actions

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

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.
20 pages. To appear in Michigan Mathematical Journal

Keywords

Dynamical Systems, Differential Geometry, 37C85, 37C15, 37D20 (primary); 37D30 (secondary)

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/126300

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0608562
 http://arxiv.org/abs/math/0608562

Collections

arXiv