Screen conformal half-lightlike submanifolds

摘要

We study some properties of a half-lightlike submanifoldM, ofa semi-Riemannian manifold, whose shape operator is conformalto the shape operator of its screen distribution. We show thatany screen distributionS(TM)ofMis integrable and thegeometry ofMhas a close relation with the nondegenerategeometry of a leaf ofS(TM). We prove some results on symmetricinduced Ricci tensor and null sectional curvature of this class.