English

Partially hyperbolic surface endomorphisms

Dynamical Systems 2020-12-02 v2

Abstract

We prove that a class of weakly partially hyperbolic endomorphisms on T2\mathbb{T}^2 are dynamically coherent and leaf conjugate to linear toral endomorphisms. Moreover, we give an example of a partially hyperbolic endomorphism on T2\mathbb{T}^2 which does not admit a centre foliation.

Keywords

Cite

@article{arxiv.1811.08977,
  title  = {Partially hyperbolic surface endomorphisms},
  author = {Layne Hall and Andy Hammerlindl},
  journal= {arXiv preprint arXiv:1811.08977},
  year   = {2020}
}

Comments

13 pages, 1 figure