Contact properties of surfaces in r-3 with corank 1 singularities

dc.contributorUniversidade Estadual Paulista (Unesp)|Universitat de València
dc.date.accessioned2015-10-21T13:14:34Z
dc.date.available2015-10-21T13:14:34Z
dc.date.created2015-10-21T13:14:34Z
dc.date.issued2015-03-01
dc.identifierTohoku Mathematical Journal. Sendai: Tohoku University, v. 67, n. 1, p. 105-124, 2015.
dc.identifier0040-8735
dc.identifierhttp://hdl.handle.net/11449/128857
dc.identifierWOS:000354500900006
dc.description.abstractWe study the geometry of surfaces in R-3 with corank 1 singularities. At a singular point we define the curvature parabola using the first and second fundamental forms of the surface, which contains all the local second order geometrical information about the surface. The curvature parabola is used to introduce the concepts of asymptotic directions and umbilic curvature, which are related to contact properties of the surface with planes and spheres.
dc.languageeng
dc.publisherTohoku University
dc.relationTohoku Mathematical Journal
dc.relation0.517
dc.relation0,480
dc.rightsAcesso restrito
dc.sourceWeb of Science
dc.subjectSingular surfaces
dc.subjectUmbilic curvature
dc.subjectCurvature parabola
dc.subjectWhitney umbrella
dc.subjectCross-cap
dc.titleContact properties of surfaces in r-3 with corank 1 singularities
dc.typeArtículos de revistas


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