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): |
Total Authors: 3
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| Affiliation: | [1] Hokkaido Univ, Dept Math, Sapporo, Hokkaido 0600810 - Japan
[2] ICMC Univ Sao Paulo, Dept Matemat, BR-13560970 Sao Carlos, SP - Brazil
Total Affiliations: 2
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| Document type: | Review article |
| Source: | JOURNAL OF GEOMETRY AND PHYSICS; v. 97, p. 105-118, NOV 2015. |
| Web of Science Citations: | 2 |
| Abstract | |
In this paper we introduce the notion of pseudo-spherical normal Darboux images of curves on a timelike surface in three dimensional Lorentz-Minkowski space. We investigate the singularities and geometric properties of these pseudo-spherical normal Darboux images. Furthermore, we investigate the relation of the de Sitter and of the hyperbolic normal Darboux images of a spacelike curve in S-1(2) with the lightlike surface along this spacelike curve. (C) 2015 Elsevier B.V. All rights reserved. (AU) | |
| FAPESP's process: | 13/02794-4 - Geometry in Minkowski space |
| Grantee: | Ana Claudia Nabarro |
| Support Opportunities: | Regular Research Grants |
| FAPESP's process: | 10/20301-7 - Curves in Minkowski space |
| Grantee: | Andrea de Jesus Sacramento |
| Support Opportunities: | Scholarships in Brazil - Doctorate |