The dynamics of quasi-isometric foliations
Dynamical Systems
2015-05-30 v2
Abstract
If the stable, center, and unstable foliations of a partially hyperbolic system are quasi-isometric, the system has Global Product Structure. This result also applies to Anosov systems and to other invariant splittings. If a partially hyperbolic system on a manifold with abelian fundamental group has quasi-isometric stable and unstable foliations, the center foliation is without holonomy. If, further, the system has Global Product Structure, then all center leaves are homeomorphic.
Keywords
Cite
@article{arxiv.1110.5662,
title = {The dynamics of quasi-isometric foliations},
author = {Andy Hammerlindl},
journal= {arXiv preprint arXiv:1110.5662},
year = {2015}
}
Comments
18 pages, 1 figure