Contact properties of surfaces in r-3 with corank 1 singularities
| dc.contributor.author | Martins, Luciana F. [UNESP] | |
| dc.contributor.author | Nuno-Ballesteros, Juan J. | |
| dc.contributor.institution | Universidade Estadual Paulista (Unesp)|Universitat de València | |
| dc.date.accessioned | 2015-10-21T13:14:34Z | |
| dc.date.available | 2015-10-21T13:14:34Z | |
| dc.date.issued | 2015-03-01 | |
| 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.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.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.description.sponsorshipId | DGICYT Grant: MTM2012-33073 | |
| dc.description.sponsorshipId | MEC Grant: PHB2009-0005-PC | |
| dc.format.extent | 105-124 | |
| 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.wos | WOS:000354500900006 | |
| dc.language.iso | eng | |
| dc.publisher | Tohoku University | |
| dc.relation.ispartof | Tohoku Mathematical Journal | |
| dc.relation.ispartofjcr | 0.517 | |
| dc.relation.ispartofsjr | 0,480 | |
| dc.rights.accessRights | Acesso restrito | |
| 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 | Artigo | |
| dcterms.rightsHolder | Tohoku University | |
| unesp.author.orcid | 0000-0001-6725-541X[2] | |
| unesp.campus | Universidade Estadual Paulista (Unesp), Instituto de Biociências, Letras e Ciências Exatas, São José do Rio Preto | pt |
| unesp.department | Matemática - IBILCE | pt |