Global rigidity for totally nonsymplectic Anosov Z^k actions
Dynamical Systems
2009-03-01 v2 Differential Geometry
Abstract
We consider a totally nonsymplectic Anosov action of Z^k which is either uniformly quasiconformal or pinched on each coarse Lyapunov distribution. We show that such an action on a torus is C^\infty--conjugate to an action by affine automorphisms. We also obtain similar global rigidity results for actions on an arbitrary compact manifold assuming that the coarse Lyapunov foliations are jointly integrable.
Keywords
Cite
@article{arxiv.math/0602175,
title = {Global rigidity for totally nonsymplectic Anosov Z^k actions},
author = {Boris Kalinin and Victoria Sadovskaya},
journal= {arXiv preprint arXiv:math/0602175},
year = {2009}
}
Comments
This is the version published by Geometry & Topology on 24 July 2006