- Turkish Journal of Mathematics
- Vol: 37 Issue: 1
- Scalar curvature and symmetry properties of lightlike submanifolds}
Scalar curvature and symmetry properties of lightlike submanifolds}
Authors : Cyriaque Atindogbe, Oscar Lungiambudila, Joël Tossa
Pages : 95-113
Doi:10.3906/mat-1106-8
View : 9 | Download : 4
Publication Date : 9999-12-31
Article Type : Makaleler
Abstract :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.Keywords : Key words: Extrinsic scalar curvature, locally symmetric lightlike submanifold, semi-symmetric lightlike submanifold, Ricci semi-symmetric lightlike submanifold