APA
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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. https://doi.org/10.1017/etds.2020.85
Chicago/Turabian
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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
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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, doi:10.1017/etds.2020.85.
BibTeX Click to copy
@article{carrasco2021a,
title = {Classification of partially hyperbolic diffeomorphisms under some rigid conditions},
year = {2021},
issue = {9},
journal = {Ergodic Theory and Dynamical Systems},
pages = {2770-2781},
volume = {41},
doi = {10.1017/etds.2020.85},
author = {Carrasco, Pablo D. and Pujals, Enrique and Rodriguez Hertz, Federico}
}
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.
