| Titre |
Pseudo-Szabo operators and lightlike Szabo hypersurfaces |
| Auteurs |
ATINDOGBE COMLAN CYRIAQUE [1],
LUNGIAMBUDILA Oscar [2],
TOSSA JOEL [3],
|
| Journal: |
A frican D iaspora J ournal of M athematics |
| Catégorie Journal: |
Internationale |
| Impact factor: |
0 |
| Volume Journal: |
11 |
| DOI: |
|
| Resume |
In this paper, the pseudo-inversion of degenerate metric is considered. We extend
Szabó operators associated to algebraic covariant derivative curvature maps (tensors)
to lightlike hypersurfaces. Some examples are given with explicit determination of
their Szabó operators. Finally, we introduce the notion of lightlike Szabó hypersur-
faces and give some characterization results of locally symmetric lightlike hypersurfaces and semi-symmetric lightlike hypersurfaces from Szabó condition. |
| Mots clés |
Algebraic covariant derivative curvature tensor, ∇-admissible screen distribution, Lightlike Szabó hypersurface. |
| Pages |
1 - 23 |
| Fichier |
(PDF) |