Communications of the
Korean Mathematical Society CKMS

The purpose of this paper is to study some properties of $n$-dimensional recurrent space-like complex hypersurfaces in an $(n+1)$-dimensional semi-definite complex space form $M_{0+t}^{n+1}(c)$, $t=0$ or $1$, $c\ne0$.

Keywords: semi-definite Kaehler manifold, semi-definite complex space form, space-like, semi-symmetric, recurrent, totally geodesic, second fundamental form

MSC numbers: 53C50, 53C40