Umbilicity of surfaces with orthogonal asymptotic lines in R-4

dc.contributor.author	Romero-Fuster, MD
dc.contributor.author	Sánchez-Bringas, F
dc.date.accessioned	2011-01-22T10:26:53Z
dc.date.available	2011-01-22T10:26:53Z
dc.date.issued	2002
dc.identifier.issn	0926-2245
dc.identifier.uri	http://hdl.handle.net/11154/1864
dc.description.abstract	We study some properties of surfaces in 4-space all whose points are umbilic with respect to some normal field. In particular, we show that this condition is equivalent to the orthogonality of the (globally defined) fields of asymptotic directions. We also analyze necessary and sufficient conditions for the hypersphericity of surfaces in 4-space. (C) 2002 Elsevier Science B.V. All rights reserved.	en_US
dc.language.iso	en	en_US
dc.title	Umbilicity of surfaces with orthogonal asymptotic lines in R-4	en_US
dc.type	Article	en_US
dc.identifier.idprometeo	2203
dc.source.novolpages	16(3):213-224
dc.subject.wos	Mathematics, Applied
dc.subject.wos	Mathematics
dc.description.index	WoS: SCI, SSCI o AHCI
dc.subject.keywords	asymptotic direction
dc.subject.keywords	nu-principal curvature foliation
dc.subject.keywords	umbilicity
dc.subject.keywords	sphericity
dc.relation.journal	Differential Geometry and Its Applications