Classification of partially hyperbolic diffeomorphisms under some rigid conditions


Journal article


Pablo D. Carrasco, Enrique Pujals, Federico Rodriguez Hertz
Ergodic Theory and Dynamical Systems, vol. 41(9), 2021, pp. 2770-2781


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APA
Carrasco, P. D., Pujals, E., & Rodriguez Hertz, F. (2021). Classification of partially hyperbolic diffeomorphisms under some rigid conditions. Ergodic Theory and Dynamical Systems, 41(9), 2770–2781.

Chicago/Turabian
Carrasco, Pablo D., Enrique Pujals, and Federico Rodriguez Hertz. “Classification of Partially Hyperbolic Diffeomorphisms under Some Rigid Conditions.” Ergodic Theory and Dynamical Systems 41, no. 9 (2021): 2770–2781.

MLA
Carrasco, Pablo D., et al. “Classification of Partially Hyperbolic Diffeomorphisms under Some Rigid Conditions.” Ergodic Theory and Dynamical Systems, vol. 41, no. 9, 2021, pp. 2770–81.


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) either 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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