In this paper, the pseudo-inversion of degenerate metric is considered. We extend Szabó operators associated to algebraic covariant derivative curvature maps (tensors) to lightlike hypersurfaces. Some examples are given with explicit determination [...]
ATINDOGBE COMLAN CYRIAQUE [1], LUNGIAMBUDILA OSCAR [2], TOSSA JOEL [3],
In this paper, we study Jacobi operators associated to algebraic curvature maps (tensors) on lightlike submanifolds M. We investigate conditions for an induced Riemann curvature tensor to be an algebraic curvature tensor on M. We introduce the noti [...]
ATINDOGBE COMLAN CYRIAQUE [1], LUNGIAMBUDILA OSCAR [2], TOSSA JOEL [0],
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 -dege [...]
ATINDOGBE COMLAN CYRIAQUE [1], LUNGIAMBUDILA OSCAR [2], TOSSA JOEL [3],