Communications of the
Korean Mathematical Society CKMS

We study irrotational half lightlike submanifolds $M$ of a semi-Riemannian space form with a semi-symmetric non-metric connection such that its structure vector field is tangent to $M$. We prove two characterization theorems for such an irrotational half lightlike submanifold.

Keywords: screen quasi-conformal, half lightlike submanifold, semi-sym\-metric non-metric connection