Generic lightlike submanifolds of an indefinite Kaehler manifold with an (ℓ,m)-type metric connection

Abstract

We study generic lightlike submanifolds M of an indefinite Kaehler manifold ¯M or an indefinite complex space form ¯M(c) with an (ℓ,m)-type metric connection subject such that the characteristic vector field ζ of ¯M belongs to our screen distribution S(TM) of M.