English

Chain-transitivity of partially hyperbolic diffeomorphisms on $\mathbb{T}^3$ isotopic to Anosov

Dynamical Systems 2014-09-01 v2

Abstract

We prove that if ff is a partially hyperbolic diffeomorphism on 3-torus T3\mathbb{T}^3 and isotopic to Anosov, then ff is chain transitive.

Keywords

Cite

@article{arxiv.1408.6363,
  title  = {Chain-transitivity of partially hyperbolic diffeomorphisms on $\mathbb{T}^3$ isotopic to Anosov},
  author = {Shaobo Gan},
  journal= {arXiv preprint arXiv:1408.6363},
  year   = {2014}
}

Comments

Crucial gap has been founded by R. Potrie