Riemannian foliations on contractible manifolds

Riemannian foliations on contractible manifolds

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.

Verfasser:	Florit, Luis ^GND Goertsches, Oliver ^GND Lytchak, Alexander ^GND ^VIAF Töben, Dirk ^GND
Dokumenttypen:	Artikel
Medientypen:	Text
Erscheinungsdatum:	2015
Publikation in MIAMI:	22.08.2016
Datum der letzten Änderung:	16.04.2019
Quelle:	Münster Journal of Mathematics, 8 (2015), S. 1-16
Verlag/Hrsg.:	Mathematisches Institut (Universität Münster)
Angaben zur Ausgabe:	[Electronic ed.]
Fachgebiet (DDC):	510: Mathematik
Lizenz:	InC 1.0
Sprache:	English
Format:	PDF-Dokument
URN:	urn:nbn:de:hbz:6-65219729719
Weitere Identifikatoren:	DOI: 10.17879/65219682809
Permalink:	https://nbn-resolving.de/urn:nbn:de:hbz:6-65219729719
Onlinezugriff:	mjm_2015_8_1-16.pdf

Münster Journal of Mathematics

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