Semi-invariant lightlike submanifolds of a semi-Riemannian product manifold

抄録

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.