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

Abstract EN

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