| Titre |
Gray tensors on lightlike hypersurfaces |
| Auteurs |
ATINDOGBE COMLAN CYRIAQUE [1],
BERARD BERGERY Lionel [2],
TOSSA JOEL [3],
|
| Journal: |
International Electronic Journal of Geometry |
| Catégorie Journal: |
Internationale |
| Impact factor: |
0 |
| Volume Journal: |
2 |
| DOI: |
|
| Resume |
This paper introduces Gray-tensors on lightlike hypersurfaces M n+1
of signature (0, n), (n ≥ 1) and investigates on their basic properties in connec-
tion with their null geometry. In particular, we show that there is an interplay
between existence of Gray-tensors of certain type and lightlike warped product
structures. As a physical relevance, we show that there exists such a tensor on
both globally Killing horizons (GKH) and totally geodesic lightlike triple warped
product hypersurfaces. |
| Mots clés |
Lightlike hypersurface, screen distribution, Gray-tensor, almost product
structure, warped product. |
| Pages |
1 - 19 |
| Fichier |
(PDF) |