Geometry of manifolds in the euclidian space and in the Minkowski space
Novel Phases of Matter at Strong Coupling from Black Holes in String Theory
De Sitter special relativity: foundations and physical applications
| Author(s): |
Total Authors: 3
|
| Affiliation: | [1] Hokkaido Univ, Dept Math, Sapporo, Hokkaido 0600810 - Japan
[2] ICMC Univ Sao Paulo, Dept Matemat, Campus Sao Carlos, Caixa Postal 668, BR-13560970 Sao Carlos, SP - Brazil
Total Affiliations: 2
|
| Document type: | Journal article |
| Source: | OSAKA JOURNAL OF MATHEMATICS; v. 58, n. 4, p. 947-966, OCT 2021. |
| Web of Science Citations: | 0 |
| Abstract | |
In mathematical physics, Minkowski space (or Minkowski space-time) is a combination of three-dimensional Euclidean space and time into a four-dimensional manifold. The hyperbolic surface and de Sitter surface of a curve are defined in the spacelike hypersurface M in Minkowski 4-space and located, respectively, in hyperbolic 3-space and de Sitter 3-space. In this study, techniques from singularity theory were applied to obtain the generic shape of such surfaces and their singular value sets and the geometrical meanings of these singularities were investigated. (AU) | |
| FAPESP's process: | 19/07316-0 - Singularity theory and its applications to differential geometry, differential equations and computer vision |
| Grantee: | Farid Tari |
| Support Opportunities: | Research Projects - Thematic Grants |
| FAPESP's process: | 16/19139-7 - Geometry of manifolds in the euclidian space and in the Minkowski space |
| Grantee: | Ana Claudia Nabarro |
| Support Opportunities: | Regular Research Grants |