• Bulletin of the Korean Mathematical Society
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• v.50 no.3
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• pp.1041-1048
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• 2013

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