Universität zu Köln

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:	Creators Email ORCID ORCID Put Code Florit, Luis UNSPECIFIED UNSPECIFIED UNSPECIFIED Goertsches, Oliver UNSPECIFIED UNSPECIFIED UNSPECIFIED Lytchak, Alexander UNSPECIFIED UNSPECIFIED UNSPECIFIED Toeben, Dirk UNSPECIFIED UNSPECIFIED UNSPECIFIED
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:	Keywords Language Mathematics Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/41949