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three manifolds

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1 results

Classification of partially hyperbolic diffeomorphisms under some rigid conditions
Part of
- Dynamical systems with hyperbolic behavior
PABLO D. CARRASCO, ENRIQUE PUJALS, FEDERICO RODRIGUEZ-HERTZ
Journal:

Ergodic Theory and Dynamical Systems / Volume 41 / Issue 9 / September 2021

Published online by Cambridge University Press:

22 October 2020, pp. 2770-2781

Print publication:

September 2021
- Article
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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.