Riemannian foliations on contractible manifolds
Differential Geometry
2018-03-16 v1
Abstract
We prove that Riemannian foliations on complete contractible manifolds have a closed leaf, and that all leaves are closed if one closed leaf has a finitely generated fundamental group. Under additional topological or geometric assumptions we prove that the foliation is also simple.
Keywords
Cite
@article{arxiv.1309.1989,
title = {Riemannian foliations on contractible manifolds},
author = {Luis Florit and Oliver Goertsches and Alexander Lytchak and Dirk Toeben},
journal= {arXiv preprint arXiv:1309.1989},
year = {2018}
}
Comments
14 pages