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Global rigidity for totally nonsymplectic Anosov Z^k actions

Boris Kalinin·Victoria Sadovskaya
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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.

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Boris Kalinin, Victoria Sadovskaya. 2009-03-01. Global rigidity for totally nonsymplectic Anosov Z^k actions. https://doi.org/10.2140/gt.2006.10.929

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