Tenseness of Riemannian flows

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dc.contributor.author	Nozawa, Hiraku
dc.contributor.author	Royo Prieto, José Ignacio
dc.contributor.author	Universitat Autònoma de Barcelona. Centre de Recerca Matemàtica
dc.date	2012
dc.identifier	https://ddd.uab.cat/record/178158
dc.identifier	urn:oai:ddd.uab.cat:178158
dc.format	application/pdf
dc.language	eng
dc.publisher	Centre de Recerca Matemàtica
dc.relation	Centre de Recerca Matemàtica. Prepublicacions ;
dc.rights	open access
dc.rights	L'accés als continguts d'aquest document queda condicionat a l'acceptació de les condicions d'ús establertes per la següent llicència Creative Commons:
dc.rights	https://creativecommons.org/licenses/by-nc-nd/3.0/
dc.subject	Geometria diferencial
dc.subject	Foliacions (Matemàtica)
dc.title	Tenseness of Riemannian flows
dc.type	Article
dc.type	Prepublicació
dc.description.abstract	We show that any transversally complete Riemannian foliation &em&F&/em& of dimension one on any possibly non-compact manifold M is tense; namely, (M,&em&F&/em&) admits a Riemannian metric such that the mean curvature form of &em&F&/em& is basic. This is a partial generalization of a result of Domínguez, which says that any Riemannian foliation on any compact manifold is tense. Our proof is based on some results of Molino and Sergiescu, and it is simpler than the original proof by Domínguez. As an application, we generalize some well known results including Masa's characterization of tautness.