Three dimensional expansive diffeomorphisms with homoclinic points |
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Authors: | José L. Vieitez |
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Affiliation: | (1) Facultad de Ingeniería, IMERL, Montevideo, Uruguay |
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Abstract: | LetM be a compact connected oriented three dimensional manifold andf:MM an expansive diffeomorphism such that (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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