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Three dimensional expansive diffeomorphisms with homoclinic points
Authors:José L. Vieitez
Affiliation:(1) Facultad de Ingeniería, IMERL, Montevideo, Uruguay
Abstract:LetM be a compact connected oriented three dimensional manifold andf:MrarrM an expansive diffeomorphism such that OHgr(f)=M. Let us also assume that there is a hyperbolic periodic point with a homoclinic intersection. Thenf is conjugate to an Anosov isomorphism ofT3. Moreover, we show that at a homoclinic point the stable and unstable manifolds of the hyperbolic periodic point are topologically transverse.
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