English

Partially hyperbolic diffeomorphisms homotopic to the identity on 3-manifolds

Dynamical Systems 2018-01-03 v1 Geometric Topology

Abstract

We announce some results towards the classification of partially hyperbolic diffeomorphisms on 3-manifolds, and outline the proofs in the case when the diffeomorphism is dynamically coherent. Detailed proofs are long and technical and will appear later.

Keywords

Cite

@article{arxiv.1801.00214,
  title  = {Partially hyperbolic diffeomorphisms homotopic to the identity on 3-manifolds},
  author = {Thomas Barthelmé and Sergio Fenley and Steven Frankel and Rafael Potrie},
  journal= {arXiv preprint arXiv:1801.00214},
  year   = {2018}
}

Comments

Research Announcement. 15 pages