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arXiv · 1903.09264

Classification of partially hyperbolic diffeomorphisms under some rigid conditions

Pablo D. Carrasco·Enrique Pujals·Federico Rodriguez-Hertz
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Abstract

Consider a three dimensional partially hyperbolic diffeomorphism. It is proven that under some rigid hypothesis on the tangent bundle dynamics, the map is (modulo finite covers and iterates) either an Anosov diffeomorphism, a 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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Pablo D. Carrasco, Enrique Pujals, Federico Rodriguez-Hertz. 2019-03-21. Classification of partially hyperbolic diffeomorphisms under some rigid conditions. https://arxiv.org/abs/1903.09264

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