Pseudo-inversion of degenerate metrics.
| Auteur | ATINDOGBE, COMLAN CYRIAQUE | |
| Auteur | TOSSA, JOEL | |
| Auteur | EZIN, JEAN PIERRE | |
| Date d'ajout | 2026-06-02T16:06:57Z | |
| Date de disponibilite | 2026-06-02T16:06:57Z | |
| Date de publication | 2003 | |
| Resume | Let (M, g) be a smooth manifold M endowed with a metric g. A large class of differential operators in differential geometry is intrinsically defined by means of the dual metric g ∗ on the dual bundle T M ∗ of 1-forms on M. If the metric g is (semi)-Riemannian, the metric g ∗ is just the inverse of g. This paper studies the definition of the above-mentioned geometric differential operators in the case of manifolds endowed with degenerate metrics for which g ∗ is not defined. We apply the theoretical results to Laplacian-type operator on a lightlike hypersurface to deduce a Takahashi-like theorem (Takahashi (1966)) for lightlike hypersurfaces in Lorentzian space R^n+2_{1} . | |
| Autre identifiant | BECDB-5013 | |
| URI | https://dspace.uac.bj/handle/123456789/4689 | |
| Langue | fr | |
| Fait partie de | International Journal of Mathematics and Mathematical Sciences(IJMMS) | |
| Sujet | Lightlike hypersurface | |
| Sujet | pseudo-inversion | |
| Sujet | screen distribution | |
| Sujet | Loretzian space | |
| Titre | Pseudo-inversion of degenerate metrics. | |
| Type | Article |
Files
Original bundle
1 - 1 of 1
Loading...
- Name:
- 506a2bfe350502ec426335c90696d491.pdf
- Size:
- 245.57 KB
- Format:
- Adobe Portable Document Format