Center manifolds for partially hyperbolic set without strong unstable connections
Dynamical Systems
2019-02-20 v1
Abstract
We consider compact sets which are invariant and partially hyperbolic under the dynamics of a diffeomorphism of a manifold. We prove that such a set K is contained in a locally invariant center submanifold if and only if each strong stable and strong unstable leaf intersects K at exactly one point.
Keywords
Cite
@article{arxiv.1401.2452,
title = {Center manifolds for partially hyperbolic set without strong unstable connections},
author = {Christian Bonatti and Sylvain Crovisier},
journal= {arXiv preprint arXiv:1401.2452},
year = {2019}
}