Hyperbolic Invariant Sets With Positive Measures

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dc.creatorXia, Zhihong
dc.date2005-03-21
dc.date2005-08-26
dc.date.accessioned2026-07-07T05:18:11Z
dc.date.available2026-07-07T05:18:11Z
dc.descriptionIf a $C^{1 + a}$, $a >0$, volume-preserving diffeomorphism on a compact manifold has a hyperbolic invariant set with positive volume, then the map is Anosov. We also give a direct proof of ergodicity of volume-preserving $CC^{1+a}$, $a>0$, Anosov diffeomorphism without the usual Hopf argument.
dc.identifierhttps://arxiv.org/abs/math/0503437
dc.identifierhttp://arxiv.org/abs/math/0503437
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74573
dc.subjectDynamical Systems
dc.subject37C40; 37D20
dc.titleHyperbolic Invariant Sets With Positive Measures
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