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 . 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.
ATINDOGBE, CYRIAQUE; LUNGIAMBUDILA, OSCAR; and TOSSA, JOEL
"Scalar curvature and symmetry properties of lightlike submanifolds},"
Turkish Journal of Mathematics: Vol. 37:
1, Article 10.
Available at: https://journals.tubitak.gov.tr/math/vol37/iss1/10