Bulletin of the
Korean Mathematical Society BKMS

In this paper, we study the curvature of a semi-Riemannian manifold $\widetilde{M}$ of quasi-constant curvature admits some half lightlike submanifolds $M$. The main result is two characterization theorems for $\widetilde{M}$ admits extended screen homothetic and statical half lightlike submanifolds $M$ such that the curvature vector field of $\widetilde{M}$ is tangent to $M$.

Keywords: extended screen homothetic, statical, half lightlike submanifold, semi-Riemannian manifold of quasi-constant curvature

MSC numbers: Primary 53C25, 53C40, 53C50