Topological structure of (partially) hyperbolic sets with positive volume

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dc.creatorAlves, Jose F.
dc.creatorPinheiro, Vilton
dc.date2006-03-06
dc.date.accessioned2026-07-07T07:06:36Z
dc.date.available2026-07-07T07:06:36Z
dc.descriptionWe consider both hyperbolic sets and partially hyperbolic sets attracting a set of points with positive volume in a Riemannian manifold. We obtain several results on the topological structure of such sets for diffeomorphisms whose differentiability is bigger than one. We show in particular that there are no partially hyperbolic horseshoes with positive volume for such diffeomorphisms. We also give a description of the limit set of almost every point belonging to a hyperbolic set or a partially hyperbolic set with positive volume.
dc.description21 pages
dc.identifierhttps://arxiv.org/abs/math/0603148
dc.identifierhttp://arxiv.org/abs/math/0603148
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/110084
dc.subjectDynamical Systems
dc.titleTopological structure of (partially) hyperbolic sets with positive volume
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