Scalar curvature and symmetry properties of lightlike submanifolds}

Authors

CYRIAQUE ATINDOGBE
OSCAR LUNGIAMBUDILA
JOEL TOSSA

DOI

10.3906/mat-1106-8

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

Extrinsic scalar curvature, locally symmetric lightlike submanifold, semi-symmetric lightlike submanifold, Ricci semi-symmetric lightlike submanifold

First Page

95

Last Page

113

Recommended Citation

ATINDOGBE, CYRIAQUE; LUNGIAMBUDILA, OSCAR; and TOSSA, JOEL (2013) "Scalar curvature and symmetry properties of lightlike submanifolds}," Turkish Journal of Mathematics: Vol. 37: No. 1, Article 10. https://doi.org/10.3906/mat-1106-8
Available at: https://journals.tubitak.gov.tr/math/vol37/iss1/10