Topological Molino's theory
Geometric Topology
2016-01-26 v7 Dynamical Systems
Abstract
Molino's description of Riemannian foliations on compact manifolds is generalized to the setting of compact equicontinuous foliated spaces, in the case where the leaves are dense. In particular, a structural local group is associated to such a foliated space. As an application, we obtain a partial generalization of results by Carri\`ere and Breuillard-Gelander, relating the structural local group to the growth of the leaves.
Cite
@article{arxiv.1307.1276,
title = {Topological Molino's theory},
author = {Jesús A. Álvarez López and Manuel F. Moreira Galicia},
journal= {arXiv preprint arXiv:1307.1276},
year = {2016}
}
Comments
55 pages