| Titre |
Normalization and prescribed extrinsic scalar curvature on lightlike hypersurfaces |
| Auteurs |
ATINDOGBE COMLAN CYRIAQUE [1],
|
| Journal: |
Journal of Geometry and Physics |
| Catégorie Journal: |
Internationale |
| Impact factor: |
0.819 |
| Volume Journal: |
60 |
| DOI: |
|
| Resume |
In a recent paper [C. Atindogbé, Scalar curvature on lightlike hypersurfaces, Appl. Sci.
11 (2009) 9–18], the present author considered the concept of extrinsic (induced) scalar
curvature on lightlike hypersurfaces. This scalar quantity has been studied on lightlike
hypersurfaces equipped with a given normalization. But a very important problem was
left open: How to characterize the set of all normalizations admitting a prescribed extrinsic
scalar curvature? In this paper, we provide various responses to this question, supported
by examples. |
| Mots clés |
Lightlike hypersurface
Normalization, Extrinsic scalar curvature |
| Pages |
1762 - 1767 |
| Fichier |
(PDF) |