Title of article
Scalar curvature and symmetry properties of lightlike submanifolds
Author/Authors
ATINDOGBE, Cyriaque Universite d’Abomey-Calavi - Institut de Mathematiques et de Sciences Physiques (IMSP), Benin , LUNGIAMBUDILA, Oscar Facult´e des Sciences Universit´e de Kinshasa - Departement de Mathematiques et Informatique, Congo , TOSSA, Joel Universite d’Abomey-Calavi - Institut de Mathematiques et de Sciences Physiques (IMSP), Benin
From page
95
To page
113
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
Journal title
Turkish Journal of Mathematics
Journal title
Turkish Journal of Mathematics
Record number
2531285
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