Classification of partially hyperbolic diffeomorphisms under some rigid conditions
Dynamical Systems
2020-06-30 v4
Abstract
Consider a three dimensional partially hyperbolic diffeomorphism. It is proven that under some rigid hypothesis on the tangent bundle dynamics, the map is (modulo finite covers and iterates) either an Anosov diffeomorphism, a 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.
Cite
@article{arxiv.1903.09264,
title = {Classification of partially hyperbolic diffeomorphisms under some rigid conditions},
author = {Pablo D. Carrasco and Enrique Pujals and Federico Rodriguez-Hertz},
journal= {arXiv preprint arXiv:1903.09264},
year = {2020}
}
Comments
To be published in Ergod. Theory Dyn. Syst