On classification of resonance-free Anosov Z^k actions

dc.creatorKalinin, Boris
dc.creatorSadovskaya, Victoria
dc.date2006-08-23
dc.date2007-03-26
dc.date.accessioned2026-07-07T07:53:39Z
dc.date.available2026-07-07T07:53:39Z
dc.descriptionWe consider actions of Z^k, k \ge 2, by Anosov diffeomorphisms which are uniformly quasiconformal on each coarse Lyapunov distribution. These actions generalize Cartan actions for which coarse Lyapunov distributions are one-dimensional. We show that, under certain non-resonance assumptions on the Lyapunov exponents, a finite cover of such an action is smoothly conjugate to an action by toral automorphisms.
dc.description20 pages. To appear in Michigan Mathematical Journal
dc.identifierhttps://arxiv.org/abs/math/0608562
dc.identifierhttp://arxiv.org/abs/math/0608562
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/126300
dc.subjectDynamical Systems
dc.subjectDifferential Geometry
dc.subject37C85, 37C15, 37D20 (primary); 37D30 (secondary)
dc.titleOn classification of resonance-free Anosov Z^k actions
dc.typetext

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