Structure of accessibility classes
Dynamical Systems
2020-03-18 v4
Abstract
In this work we deal with partially hyperbolic diffeomorphisms whose central direction is two dimensional. We prove that in general the accessibility classes are immersed manifolds. If, furthermore, the diffeomorphism is dynamically coherent and satisfies certain bunching condition, then the accessibility classes are immersed manifolds.
Cite
@article{arxiv.1706.01156,
title = {Structure of accessibility classes},
author = {Jana Rodriguez-Hertz and Carlos H. Vásquez},
journal= {arXiv preprint arXiv:1706.01156},
year = {2020}
}
Comments
Accepted in DCDS. Some improvements suggested by the referees were added