Florit, Luis, Goertsches, Oliver, Lytchak, Alexander and Toeben, Dirk (2015). Riemannian foliations on contractible manifolds. Muenster J. Math., 8 (1). S. 1 - 17. MUENSTER: WESTFAELISCHE WILHELMS-UNIV MUENSTER, MATH INST. ISSN 1867-5786

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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.

Item Type: Journal Article
Creators:
CreatorsEmailORCIDORCID Put Code
Florit, LuisUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Goertsches, OliverUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Lytchak, AlexanderUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Toeben, DirkUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
URN: urn:nbn:de:hbz:38-419498
DOI: 10.17879/65219682809
Journal or Publication Title: Muenster J. Math.
Volume: 8
Number: 1
Page Range: S. 1 - 17
Date: 2015
Publisher: WESTFAELISCHE WILHELMS-UNIV MUENSTER, MATH INST
Place of Publication: MUENSTER
ISSN: 1867-5786
Language: English
Faculty: Faculty of Mathematics and Natural Sciences
Divisions: Faculty of Mathematics and Natural Sciences > Department of Mathematics and Computer Science > Mathematical Institute
Subjects: no entry
Uncontrolled Keywords:
KeywordsLanguage
MathematicsMultiple languages
Refereed: Yes
URI: http://kups.ub.uni-koeln.de/id/eprint/41949

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