English

Partially hyperbolic diffeomorphisms with a trapping property

Dynamical Systems 2015-02-03 v2

Abstract

We study partially hyperbolic diffeomorphisms satisfying a trapping property which makes them look as if they were Anosov at large scale. We show that, as expected, they share several properties with Anosov diffeomorphisms. We construct an expansive quotient of the dynamics and study some dynamical consequences related to this quotient.

Keywords

Cite

@article{arxiv.1408.3428,
  title  = {Partially hyperbolic diffeomorphisms with a trapping property},
  author = {Rafael Potrie},
  journal= {arXiv preprint arXiv:1408.3428},
  year   = {2015}
}

Comments

20 pages. New version incoporates improvements suggested by the referee

R2 v1 2026-06-22T05:29:33.619Z