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Abstract Consider a three-dimensional partially hyperbolic diffeomorphism. It is proved that under some rigid hypothesis on the tangent bundle dynamics, the map is (modulo finite covers and iterates) an Anosov… Click to show full abstract
Abstract Consider a three-dimensional partially hyperbolic diffeomorphism. It is proved that under some rigid hypothesis on the tangent bundle dynamics, the map is (modulo finite covers and iterates) an Anosov diffeomorphism, a (generalized) skew-product or the time-one map of an Anosov flow, thus recovering a well-known classification conjecture of the second author to this restricted setting.
Keywords:
classification partially;
hyperbolic diffeomorphisms;
partially hyperbolic;
diffeomorphisms rigid;
rigid conditions
Journal Title: Ergodic Theory and Dynamical Systems
Year Published: 2020
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Journal Title: Ergodic Theory and Dynamical Systems
Year Published: 2020
Link to full text (if available)
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recommendations!