Lightlike Submanifolds of a Semi-Riemannian Manifold of Quasi-Constant Curvature

We study the geometry of lightlike submanifolds (M, g, S(TM), S(TM1)) of a semi-Riemannian manifold ((M) over tilde, (g) over tilde) of quasiconstant curvature subject to the following conditions: (1) the curvature vector field zeta of (M) over tilde is tangent to M, (2) the screen distribution S(TM) of M is totally geodesic in M, and (3) the coscreen distribution S(TM1) of M is a conformal Killing distribution.