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Classification of partially hyperbolic diffeomorphisms under some rigid conditions
Published online by Cambridge University Press: 22 October 2020
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.
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- © The Author(s), 2020. Published by Cambridge University Press
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