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arXiv · 1309.1989

Riemannian foliations on contractible manifolds

Luis Florit·Oliver Goertsches·Alexander Lytchak·Dirk Toeben
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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.

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Luis Florit, Oliver Goertsches, Alexander Lytchak, Dirk Toeben. 2013-09-08. Riemannian foliations on contractible manifolds. https://arxiv.org/abs/1309.1989

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