Classification of partially hyperbolic diffeomorphisms under some rigid conditions

Pablo D. Carrasco; Enrique Pujals; Federico Rodriguez-Hertz

doi:10.1017/etds.2020.85

Classification of partially hyperbolic diffeomorphisms under some rigid conditions

Pablo D. Carrasco
, Enrique Pujals
, Federico Rodriguez-Hertz

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

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.

Original language	English (US)
Pages (from-to)	2770-2781
Number of pages	12
Journal	Ergodic Theory and Dynamical Systems
Volume	41
Issue number	9
DOIs	https://doi.org/10.1017/etds.2020.85
State	Published - Sep 2021

All Science Journal Classification (ASJC) codes

General Mathematics
Applied Mathematics

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10.1017/etds.2020.85

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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 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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AU - Rodriguez-Hertz, Federico

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AB - 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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JO - Ergodic Theory and Dynamical Systems

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IS - 9

ER -

Classification of partially hyperbolic diffeomorphisms under some rigid conditions

Abstract

All Science Journal Classification (ASJC) codes

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