| Texto completo | |
| Autor(es): |
Izumiya, Shyuichi
;
Nabarro, Ana Claudia
;
Sacramento, Andrea de Jesus
Número total de Autores: 3
|
| Tipo de documento: | Artigo Científico |
| Fonte: | JOURNAL OF SINGULARITIES; v. 16, p. 180-193, DEC 2017. |
| Citações Web of Science: | 0 |
| Resumo | |
dWe de fine two surfaces, the horospherical surface and the hyperbolic dual surface of a spacelike curve in the de Sitter 3-space, in the Lorentzian-Minkowski 4-space. These surfaces are, respectively, in the lightcone 3-space and in the hyperbolic 3-space (other pseudo-spheres). We use techniques from singularity theory to obtain the generic shape of these surfaces and of their singular point sets. Furthermore, we give a relation between these surfaces from the viewpoint of the theory of Legendrian dualities between pseudo-spheres. (AU) | |
| Processo FAPESP: | 10/20301-7 - Curvas no espaço de Minkowski |
| Beneficiário: | Andrea de Jesus Sacramento |
| Modalidade de apoio: | Bolsas no Brasil - Doutorado |
| Processo FAPESP: | 13/02794-4 - Geometria no espaço de Minkowski |
| Beneficiário: | Ana Claudia Nabarro |
| Modalidade de apoio: | Auxílio à Pesquisa - Regular |