Global rigidity for totally nonsymplectic Anosov Z^k actions

Details Global rigidity for totally nonsymplectic Anosov Z^k actions Global rigidity for totally nonsymplectic Anosov Z^k actions

2006-02-08

arxiv.org/abs/math/0602175v2

Geom. Topol. 10 (2006) 929-954

Mathematics

Dynamical Systems

This is the version published by Geometry & Topology on 24 July 2006

Scientific paper

10.2140/gt.2006.10.929

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.

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