Quasi-Anosov diffeomorphisms of 3-manifolds

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dc.creatorFisher, Todd
dc.creatorHertz, M Alejandra Rodriguez
dc.date2007-09-02
dc.date.accessioned2026-07-07T08:27:10Z
dc.date.available2026-07-07T08:27:10Z
dc.descriptionIn 1969, Hirsch posed the following problem: given a diffeomorphism, and a compact invariant hyperbolic set, describe its topology and restricted dynamics. We solve the problem where the hyperbolic invariant set is a closed 3-manifold: if the manifold is orientable, then it is a connected sum of tori and handles; otherwise it is a connected sum of tori and handles quotiented by involutions. The dynamics of the diffeomorphisms restricted to these manifolds, called quasi-Anosov diffeomorphisms, is also classified: it is the connected sum of DA-diffeomorphisms, quotiented by commuting involutions.
dc.description1 figure
dc.identifierhttps://arxiv.org/abs/0709.0072
dc.identifierhttp://arxiv.org/abs/0709.0072
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/137185
dc.subjectDynamical Systems
dc.subject37D05; 37D20
dc.titleQuasi-Anosov diffeomorphisms of 3-manifolds
dc.typetext

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