TY - JOUR
T1 - Classification of partially hyperbolic diffeomorphisms under some rigid conditions
AU - Carrasco, Pablo D.
AU - Pujals, Enrique
AU - Rodriguez-Hertz, Federico
N1 - Publisher Copyright:
©
PY - 2021/9
Y1 - 2021/9
N2 - 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.
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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U2 - 10.1017/etds.2020.85
DO - 10.1017/etds.2020.85
M3 - Article
AN - SCOPUS:85095453238
SN - 0143-3857
VL - 41
SP - 2770
EP - 2781
JO - Ergodic Theory and Dynamical Systems
JF - Ergodic Theory and Dynamical Systems
IS - 9
ER -