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arxiv: 1208.5660 · v1 · pith:6AHDOQ5Tnew · submitted 2012-08-28 · 🧮 math.DS

Ergodicity and partial hyperbolicity on the 3-torus

classification 🧮 math.DS
keywords diffeomorphismtorusanosovconjugateergodicityhomotopichyperbolichyperbolicity
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If a non-ergodic, partially hyperbolic diffeomorphism on the 3-torus is homotopic to an Anosov diffeomorphism $A$, it is topologically conjugate to $A$.

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