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arxiv: 1309.1989 · v1 · pith:EDCR63ZSnew · submitted 2013-09-08 · 🧮 math.DG

Riemannian foliations on contractible manifolds

classification 🧮 math.DG
keywords closedcontractiblefoliationsleafmanifoldsproveriemannianadditional
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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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