LIGHTLIKE HYPERSURFACES OF AN INDEFINITE KAEHLER MANIFOLD WITH A SEMI-SYMMETRIC METRIC CONNECTION

Abstract

We study lightlike hypersurfaces M of an indefinite Kaehler manifold M̄ with a semi-symmetric metric connection subject such that the characteristic vector field ζ of M̄ belongs to our screen distribution S(TM). First, we provide several new results on such a lightlike hypersurface. Next, we investigate lightlike hypersurfaces of an indefinite complex space form M̄(c) with a semi-symmetric metric connection such that ζ belongs to S(TM).