English

Topological description of Riemannian foliations with dense leaves

Geometric Topology 2013-11-15 v1 Dynamical Systems

Abstract

A transitive compact foliated space is shown to be a Riemannian foliation if and only if it is locally connected, finite dimensional, strongly equicontinuous and quasi-analytic, and the closure of its holonomy pseudogroup is quasi-analytic.

Keywords

Cite

@article{arxiv.1311.3491,
  title  = {Topological description of Riemannian foliations with dense leaves},
  author = {Jesús A. Álvarez López and Alberto Candel},
  journal= {arXiv preprint arXiv:1311.3491},
  year   = {2013}
}