Communications of the
Korean Mathematical Society CKMS

In this paper, we study half lightlike submanifolds $M$ of an indefinite Kaehler manifold $\bar{M}$ of quasi-constant curvature such that the characteristic vector field $\zeta$ of $\bar{M}$ is tangent to $M$. First, we provide a new result for such a half lightlike submanifold. Next, we investigate a statical half lightlike submanifold $M$ of $\bar{M}$ subject such that (1) the screen distribution $S(TM)$ is totally umbilical or (2) $M$ is screen conformal.

Keywords: statical, quasi-constant curvature, totally umbilical screen, screen conformal

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