Qualar curvatures of pseudo Riemannian manifolds and pseudo Riemannian submanifolds

Abstract

Some relations involving the qualar and null sectional curvatures for a pseudo Riemannian manifold are obtained. These curvatures are also investigated for pseudo-Riemannian submanifolds. Obtained relations are discussed for some special submanifolds of a Lorentzian manifold.

Keywords

• qualar curvature
• null sectional curvature
• pseudo-riemannian submanifold
• lorentzian manifold