On the three-legged accessibility property
Dynamical Systems
2018-05-14 v2
Abstract
We show that certain types of the three-legged accessibility property of a partially hyperbolic diffeomorphism imply the existence of a unique minimal set for one strong foliation and the transitivity of the other one. In case the center dimension is one, we also give a criteria to obtain three-legged accessibility in a robust way. We show some applications of our results to the time-one map of Anosov flows, skew products and certain Anosov diffeomorphisms with partially hyperbolic splitting.
Cite
@article{arxiv.1805.03848,
title = {On the three-legged accessibility property},
author = {Jana Rodriguez Hertz and Raúl Ures},
journal= {arXiv preprint arXiv:1805.03848},
year = {2018}
}
Comments
to appear in Proceeding of Springer Verlag, New Trends in One-dimensional Dynamics