| Texto completo | |
| Autor(es): |
Nuno-Ballesteros, Juan J.
;
Sanchez, Luis
Número total de Autores: 2
|
| Tipo de documento: | Artigo Científico |
| Fonte: | Geometriae Dedicata; v. 183, n. 1, p. 1-24, AUG 2016. |
| Citações Web of Science: | 1 |
| Resumo | |
We introduce a new family of affine metrics on a locally strictly convex surface M in affine 4-space. Then, we define the symmetric and antisymmetric equiaffine planes associated with each metric. We show that if M is immersed in a locally strictly convex hyperquadric, then the symmetric and the antisymmetric planes coincide and contain the affine normal of the hyperquadric. In particular, any surface immersed in a locally strictly convex hyperquadric is affine semiumbilical with respect to the symmetric or antisymmetric equiaffine planes. (AU) | |
| Processo FAPESP: | 11/21126-7 - Sobre geometria afim e singularidades |
| Beneficiário: | Luis Florial Espinoza Sánchez |
| Modalidade de apoio: | Bolsas no Exterior - Estágio de Pesquisa - Doutorado |