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
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
