We study some properties of a half-lightlike submanifold M, of
a semi-Riemannian manifold, whose shape operator is conformal
to the shape operator of its screen distribution. We show that
any screen distribution S(TM) of M is integrable and the
geometry of M has a close relation with the nondegenerate
geometry of a leaf of S(TM). We prove some results on symmetric
induced Ricci tensor and null sectional curvature of this class.