On Einstein null hypersurfaces of $(LCS)_{n+2}$-space forms

Abstract

We show that ascreen null hypersurfaces of an (n+2)-dimensional Lorentzian concircular structure (LCS)_{n+2}-manifold admits an induced Ricci tensor. We, therefore, prove, under some geometric conditions, that an Einstein ascreen null hypersurface is locally a product of null curves and products of spheres.