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

Martins, Luciana F.; Nuno-Ballesteros, Juan J.

Please use this identifier to cite or link to this item: http://acervodigital.unesp.br/handle/11449/128857

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DC Field	Value	Language
dc.contributor.author	Martins, Luciana F.	-
dc.contributor.author	Nuno-Ballesteros, Juan J.	-
dc.date.accessioned	2015-10-21T13:14:34Z	-
dc.date.accessioned	2016-10-25T21:00:37Z	-
dc.date.available	2015-10-21T13:14:34Z	-
dc.date.available	2016-10-25T21:00:37Z	-
dc.date.issued	2015-03-01	-
dc.identifier	http://projecteuclid.org/euclid.tmj/1429549581	-
dc.identifier.citation	Tohoku Mathematical Journal. Sendai: Tohoku University, v. 67, n. 1, p. 105-124, 2015.	-
dc.identifier.issn	0040-8735	-
dc.identifier.uri	http://hdl.handle.net/11449/128857	-
dc.identifier.uri	http://acervodigital.unesp.br/handle/11449/128857	-
dc.description.abstract	We 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.sponsorship	Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)	-
dc.description.sponsorship	Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)	-
dc.description.sponsorship	DGICYT Grant	-
dc.description.sponsorship	MEC Grant	-
dc.format.extent	105-124	-
dc.language.iso	eng	-
dc.publisher	Tohoku University	-
dc.source	Web of Science	-
dc.subject	Singular surfaces	en
dc.subject	Umbilic curvature	en
dc.subject	Curvature parabola	en
dc.subject	Whitney umbrella	en
dc.subject	Cross-cap	en
dc.title	Contact properties of surfaces in r-3 with corank 1 singularities	en
dc.type	outro	-
dc.contributor.institution	Universidade Estadual Paulista (UNESP)\|Universitat de València	-
dc.description.affiliation	Universidade 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.affiliation	Universitat de Velència - Departament de geometria i tipologia, Campus de Burjassot, València, Spain.	-
dc.description.affiliationUnesp	Universidade 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.sponsorshipId	DGICYT Grant: MTM2012-33073	-
dc.description.sponsorshipId	MEC Grant: PHB2009-0005-PC	-
dc.identifier.wos	WOS:000354500900006	-
dc.rights.accessRights	Acesso restrito	-
dc.relation.ispartof	Tohoku Mathematical Journal	-
Appears in Collections:	Artigos, TCCs, Teses e Dissertações da Unesp

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