Geometry of manifolds in the euclidian space and in the Minkowski space
An introduction to differential geometry of curves and surfaces in Minkowski space
| Full text | |
| Author(s): |
Nabarro, Ana Claudia
;
Sacramento, Andrea de Jesus
Total Authors: 2
|
| Document type: | Journal article |
| Source: | PUBLICATIONES MATHEMATICAE-DEBRECEN; v. 88, n. 3-4, p. 487-510, 2016. |
| Web of Science Citations: | 0 |
| Abstract | |
We study the geometry of curves in the Minkowski space and in the de Sitter space, specially at points where the tangent direction is lightlike (i.e. has length zero) called lightlike points of the curve. We define the focal sets of these curves and study the metric structure of them. At the lightlike points, the focal set is not defined. We use singularity theory techniques to carry out our study and investigate the focal set near lightlike points. (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 |