Codimension one compact center foliations are uniformly compact
Dynamical Systems
2019-01-01 v2 Geometric Topology
Abstract
Let be a dynamically coherent partially hyperbolic diffeomorphism whose center foliation has all its leaves compact. We prove that if the unstable bundle of is one-dimensional, then the volume of center leaves must be bounded in .
Cite
@article{arxiv.1809.02355,
title = {Codimension one compact center foliations are uniformly compact},
author = {Verónica De Martino and Santiago Martinchich},
journal= {arXiv preprint arXiv:1809.02355},
year = {2019}
}
Comments
18 pages, 4 figures