Abstract
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 M1(c1) × M2(c2) and discuss integrabilities of distributions on semi-Riemannian product manifold.
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