| Full text | |
| Author(s): |
Izumiya, Shyuichi
;
Nabarro, Ana Claudia
;
Sacramento, Andrea de Jesus
Total Authors: 3
|
| Document type: | Journal article |
| Source: | JOURNAL OF SINGULARITIES; v. 16, p. 180-193, DEC 2017. |
| Web of Science Citations: | 0 |
| Abstract | |
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) | |
| FAPESP's process: | 10/20301-7 - Curves in Minkowski space |
| Grantee: | Andrea de Jesus Sacramento |
| Support Opportunities: | Scholarships in Brazil - Doctorate |
| FAPESP's process: | 13/02794-4 - Geometry in Minkowski space |
| Grantee: | Ana Claudia Nabarro |
| Support Opportunities: | Regular Research Grants |