Global rigidity for totally nonsymplectic Anosov ℤk actions

Boris Kalinin; Victoria Sadovskaya

doi:10.2140/gt.2006.10.929

Global rigidity for totally nonsymplectic Anosov ℤ^k actions

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Abstract

We consider a totally nonsymplectic (TNS) 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 ^∞-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 yapunov foliations are topologically jointly integrable.

Original language	English (US)
Pages (from-to)	929-954
Number of pages	26
Journal	Geometry and Topology
Volume	10
DOIs	https://doi.org/10.2140/gt.2006.10.929
State	Published - Jul 24 2006

All Science Journal Classification (ASJC) codes

Geometry and Topology

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10.2140/gt.2006.10.929

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abstract = "We consider a totally nonsymplectic (TNS) Anosov action of ℤk which is either uniformly quasiconformal or pinched on each coarse Lyapunov distribution. We show that such an action on a torus is C ∞-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 yapunov foliations are topologically jointly integrable.",

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AB - We consider a totally nonsymplectic (TNS) Anosov action of ℤk which is either uniformly quasiconformal or pinched on each coarse Lyapunov distribution. We show that such an action on a torus is C ∞-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 yapunov foliations are topologically jointly integrable.

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UR - https://www.scopus.com/pages/publications/33746436253#tab=citedBy

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JO - Geometry and Topology

JF - Geometry and Topology

ER -

Global rigidity for totally nonsymplectic Anosov ℤ^k actions

Abstract

All Science Journal Classification (ASJC) codes

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