English

Local Stable and Unstable Manifolds for Anosov Families

Dynamical Systems 2017-09-21 v2

Abstract

Anosov families were introduced by A. Fisher and P. Arnoux motivated by generalizing the notion of Anosov diffeomorphism defined on a compact Riemannian manifold. In addition to presenting several properties and examples of Anosov families, in this paper we build local stable and local manifolds for such families.

Keywords

Cite

@article{arxiv.1709.00636,
  title  = {Local Stable and Unstable Manifolds for Anosov Families},
  author = {Jeovanny de Jesus Muentes Acevedo},
  journal= {arXiv preprint arXiv:1709.00636},
  year   = {2017}
}