Communications of the
Korean Mathematical Society CKMS

We study the geometry of real lightlike hypersurfaces of an indefinite Kaehler manifold $\bar{M}$. We provide new results on such a real lightlike hypersurface $M$ by using the $F$-structure of $M$ induced by the almost complex structure $J$ of $\bar{M}$.

Keywords: totally umbilical, integrable distribution, indefinite complex space form

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