English

Minimality of one invariant lamination for partially hyperbolic attractors

Dynamical Systems 2015-06-11 v1

Abstract

We prove that at least one of the two invariant laminations of a strongly partially hyperbolic attractor with one-dimensional center bundle is minimal. This result extends those in [7] about minimal foliations for robustly transitive diffeomorphisms.

Keywords

Cite

@article{arxiv.1404.5670,
  title  = {Minimality of one invariant lamination for partially hyperbolic attractors},
  author = {Felipe Nobili},
  journal= {arXiv preprint arXiv:1404.5670},
  year   = {2015}
}