Communications of the
Korean Mathematical Society CKMS

In this paper, we study the geometry of real half lightlike submanifolds of an indefinite Kaehler manifold $\bar{M}$. We provide several new results on such a real half lightlike submanifold $M$ by using the $F$-structure of $M$ induced by the almost complex structure $J$ of $\bar{M}$.

Keywords: lightlike transversal umbilical, irrotational, indefinite Kaehler manifold

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