Principal configurations and umbilicity of submanifolds in R-N

dc.contributor.author	Moraes, SM
dc.contributor.author	Romero-Fuster, MC
dc.contributor.author	Sánchez-Bringas, F
dc.date.accessioned	2011-01-22T10:26:37Z
dc.date.available	2011-01-22T10:26:37Z
dc.date.issued	2004
dc.identifier.issn	1370-1444
dc.identifier.uri	http://hdl.handle.net/11154/1558
dc.description.abstract	We consider the principal configurations associated to smooth vector fields nu normal to a manifold M immersed into a euclidean space and give conditions on the number of principal directions shared by a set of k normal vector fields in order to guaranty the umbilicity of M with respect to some normal field nu. Provided that the unibilic curvature is constant, this will imply that ill is hyperspherical. We deduce some results concerning binormal fields and asymptotic directions for manifolds of codimension 2. Moreover, in the case of a surface M in R-N, we conclude that if N > 4	en_US
dc.description.abstract	it is always possible to find some normal field with respect to which M is umbilic and provide a geometrical characterization of such fields.	en_US
dc.language.iso	en	en_US
dc.title	Principal configurations and umbilicity of submanifolds in R-N	en_US
dc.type	Article	en_US
dc.identifier.idprometeo	1752
dc.source.novolpages	11(2):227-245
dc.subject.wos	Mathematics
dc.description.index	WoS: SCI, SSCI o AHCI
dc.relation.journal	Bulletin of the Belgian Mathematical Society-Simon Stevin