Geometry of manifolds in the euclidian space and in the Minkowski space
Special invariant metrics on Lie groups and their compact quotients
| Full text | |
| Author(s): |
Remizov, A. O.
;
Tari, F.
Total Authors: 2
|
| Document type: | Journal article |
| Source: | Geometriae Dedicata; v. 185, n. 1, p. 131-153, DEC 2016. |
| Web of Science Citations: | 4 |
| Abstract | |
We consider a pseudo-Riemannian metric that changes signature along a smooth curve on a surface, called the discriminant curve. The discriminant curve separates the surface locally into a Riemannian and a Lorentzian domain. We study the local behaviour and properties of geodesics at a point on the discriminant where the isotropic direction is tangent to the discriminant curve. (AU) | |
| FAPESP's process: | 14/04944-6 - Geodesics flows in singular metrics |
| Grantee: | Farid Tari |
| Support Opportunities: | Research Grants - Visiting Researcher Grant - International |
| FAPESP's process: | 14/00304-2 - Singularities of differentiable mappings: theory and applications |
| Grantee: | Maria Aparecida Soares Ruas |
| Support Opportunities: | Research Projects - Thematic Grants |