On Horizontal Lightlike Hypersurfaces of Robertson-Walker Spacetimes

Abstract

In this paper, we investigate horizontal lightlike hypersurfaces of Robertson-Walker spacetimes. Some results involving the unique existence of the screen distribution and the symmetry of the induced Ricci curvature tensor of horizontal lightlike hypersurfaces are presented. We also obtain some properties concerning the symmetry and the parallelism of the second fundamental forms of such lightlike hypersurfaces.

Geometry of lightlike hypersurfaces of a statistical manifold

“…Duggal and A. Bejancu in [9] (see also [10], [11]). Lightlike hypersurfaces in various spaces have been studied by many authors including those of [4], [8], [10], [17], [18], [19], [21], [22], [23], [24], [25].…”