Global rigidity for totally nonsymplectic Anosov Z^k actions

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dc.creatorKalinin, Boris
dc.creatorSadovskaya, Victoria
dc.date2006-02-08
dc.date2009-03-01
dc.date.accessioned2026-07-07T12:47:21Z
dc.date.available2026-07-07T12:47:21Z
dc.descriptionWe 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.
dc.descriptionThis is the version published by Geometry & Topology on 24 July 2006
dc.identifierhttps://arxiv.org/abs/math/0602175
dc.identifierhttp://arxiv.org/abs/math/0602175
dc.identifierGeom. Topol. 10 (2006) 929-954
dc.identifierdoi:10.2140/gt.2006.10.929
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/221692
dc.subjectDynamical Systems
dc.subjectDifferential Geometry
dc.subject37C15, 37D99, 58R99
dc.titleGlobal rigidity for totally nonsymplectic Anosov Z^k actions
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