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Öğe Semi-invariant lightlike submanifolds of a semi-Riemannian product manifold(Kinokuniya Co Ltd, 2007) Atceken, Mehmet; Kilic, ErolIn 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.