Classification of partially hyperbolic diffeomorphisms under some rigid\n conditions

2019/03/21 by Pablo D. Carrasco, Enrique Pujals, Carrasco, Pablo D. +3
Mathematics · #37D30 #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals

paper · pdf · doi:10.48550/arxiv.1903.09264

openalex publication_date 2019/03/21 · openalex created_date 2022/07/29 · openalex updated_date 2026/07/28

Abstract

Consider a three dimensional partially hyperbolic diffeomorphism. It is\nproven that under some rigid hypothesis on the tangent bundle dynamics, the map\nis (modulo finite covers and iterates) either an Anosov diffeomorphism, a\nskew-product or the time-one map of an Anosov flow, thus recovering a well\nknown classification conjecture of the second author to this restricted\nsetting.\n

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