A characterization of minimal ascreen null hypersurfaces of $(LCS)$-space forms

Abstract

In the present paper, we study non totally geodesic minimal ascreen null hypersurface, M, of a Lorentzian concircular structure (LCS)-space form of constant curvature 0 or 1. We prove that; if the Ricci tensor of M is parallel with respect to any leaf of its screen distribution, then M is isometric to a product of a null curve and spheres.