Transitive partially hyperbolic diffeomorphisms with one-dimensional neutral center
Dynamical Systems
2020-08-18 v1
Abstract
In this paper, we study transitive partially hyperbolic diffeomorphisms with one-dimensional topologically neutral center, meaning that the length of the iterate of small center segments remains small. Such systems are dynamically coherent. We show that there exists a continuous metric along the center foliation which is invariant under the dynamics. As an application, we classify the transitive partially hyperbolic diffeomorphisms on 3-manifolds with topologically neutral center.
Cite
@article{arxiv.1904.05295,
title = {Transitive partially hyperbolic diffeomorphisms with one-dimensional neutral center},
author = {Christian Bonatti and Jinhua Zhang},
journal= {arXiv preprint arXiv:1904.05295},
year = {2020}
}
Comments
29 pages, 2 figures