| Titre |
Scalar curvature and symmetry properties of lightlike submanifolds |
| Auteurs |
ATINDOGBE COMLAN CYRIAQUE [1],
LUNGIAMBUDILA Oscar [2],
TOSSA JOEL [3],
|
| Journal: |
Turkish Journal of Mathematics |
| Catégorie Journal: |
Internationale |
| Impact factor: |
0.385 |
| Volume Journal: |
37 |
| DOI: |
10.3906/mat-1106-8 |
| Resume |
In this paper, the induced Ricci tensor and the extrinsic scalar curvature on lightlike submanifolds are
obtained. This scalar quantity extend the result given by C. Atindogbe in [1]. An example of extrinsic scalar curvature
on one class of 2 -degenerate manifolds is provided. We investigate lightlike submanifolds which are locally symmetric,
semi-symmetric, Ricci semi-symmetric in indefinite spaces form. In the coisotropic case, we show that, under some
conditions, these lightlike submanifolds are totally geodesic. |
| Mots clés |
Extrinsic scalar curvature, locally symmetric lightlike submanifold, semi-symmetric lightlike submanifold,
Ricci semi-symmetric lightlike submanifold |
| Pages |
95 - 113 |
| Fichier |
(PDF) |