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

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dc.contributor.authorMartins, Luciana F. [UNESP]
dc.contributor.authorNuno-Ballesteros, Juan J.
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)|Universitat de València
dc.date.accessioned2015-10-21T13:14:34Z
dc.date.available2015-10-21T13:14:34Z
dc.date.issued2015-03-01
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.en
dc.description.affiliationUniversidade Estadual Paulista (UNESP) - Instituto de Biociências, Letras e Ciências Exatas, Departamento de Matemática, Campus de São José do Rio Preto, São Paulo, Brasil
dc.description.affiliationUniversitat de Velència - Departament de geometria i tipologia, Campus de Burjassot, València, Spain.
dc.description.affiliationUnespUniversidade Estadual Paulista (UNESP) - Instituto de Biociências, Letras e Ciências Exatas, Departamento de Matemática, Campus de São José do Rio Preto, São Paulo, Brasil
dc.description.sponsorshipFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.description.sponsorshipCoordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
dc.description.sponsorshipDGICYT Grant
dc.description.sponsorshipMEC Grant
dc.description.sponsorshipIdDGICYT Grant: MTM2012-33073
dc.description.sponsorshipIdMEC Grant: PHB2009-0005-PC
dc.format.extent105-124
dc.identifierhttp://projecteuclid.org/euclid.tmj/1429549581
dc.identifier.citationTohoku Mathematical Journal. Sendai: Tohoku University, v. 67, n. 1, p. 105-124, 2015.
dc.identifier.issn0040-8735
dc.identifier.urihttp://hdl.handle.net/11449/128857
dc.identifier.wosWOS:000354500900006
dc.language.isoeng
dc.publisherTohoku University
dc.relation.ispartofTohoku Mathematical Journal
dc.relation.ispartofjcr0.517
dc.relation.ispartofsjr0,480
dc.rights.accessRightsAcesso restrito
dc.sourceWeb of Science
dc.subjectSingular surfacesen
dc.subjectUmbilic curvatureen
dc.subjectCurvature parabolaen
dc.subjectWhitney umbrellaen
dc.subjectCross-capen
dc.titleContact properties of surfaces in r-3 with corank 1 singularitiesen
dc.typeArtigo
dcterms.rightsHolderTohoku University
unesp.author.orcid0000-0001-6725-541X[2]
unesp.campusUniversidade Estadual Paulista (Unesp), Instituto de Biociências Letras e Ciências Exatas, São José do Rio Pretopt

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