Scalar curvature and symmetry properties of lightlike submanifolds}

Authors

CYRIAQUE ATINDOGBE
OSCAR LUNGIAMBUDILA
JOEL TOSSA

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.

DOI

10.3906/mat-1106-8

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