KODAI MATHEMATICAL JOURNAL, cilt.30, sa.3, ss.361-378, 2007 (SCI-Expanded)
In this paper, we introduce a new class of lightlike submanifolds, namely, semi-invariant lightlike submanifolds of a semi-Riemannian product manifold. We investigate totally umbilical, curvature invariant lightlike submanifolds in real space forms M-1(c(1)) X M-2 (c(2)) and discuss integrabilities of distributions on semi-Riemannian product manifold.