Lightlike Hypersurfaces of Almost Productlike Semi-Riemannian Manifolds

Abstract

The main purpose of this paper is to investigate lightlike hypersurfaces of almost productlike semi-Riemannian manifolds. For this purpose, screen-semi-invariant, screen-invariant, radical-anti-invariant, and radical-invariant lightlike hypersurfaces of almost productlike semi-Riemannian manifolds are introduced and some examples of these classifications are presented. Furthermore, various characterizations dealing screen semi-invariant lightlike hypersurfaces are obtained.

Keywords

• lightlike hypersurface
• almost productlike manifold
• semi-Riemannian manifold