Partial hyperbolicity and classification: a survey
Dynamical Systems
2016-09-28 v2
Abstract
This paper surveys recent results on classifying partially hyperbolic diffeomorphisms. This includes the construction of branching foliations and leaf conjugacies on three-dimensional manifolds with solvable fundamental group. Classification results in higher-dimensional settings are also discussed. The paper concludes with an overview of the construction of new partially hyperbolic examples derived from Anosov flows.
Cite
@article{arxiv.1511.04471,
title = {Partial hyperbolicity and classification: a survey},
author = {Andy Hammerlindl and Rafael Potrie},
journal= {arXiv preprint arXiv:1511.04471},
year = {2016}
}
Comments
49 pages, 6 figures