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.

Screen invariant lightlike hypersurfaces of almost product-like statistical manifolds and locally product-like statistical manifolds

“…One of the interesting aspects of Hermite-like manifolds is that although there are no examples in classical Euclidean spaces, there are examples of Hermite-like manifolds in non-Euclidean geometry. With a similar idea, product-like manifolds were introduced and the geometry of some special type hypersurfaces of these manifolds was investigated in [1,7].…”

On certain principal directions in lightlike hypersurfaces of an indefinite Sasakian manifold

“…Following the fundamental tools developed in the above books, many scholars have investigated the geometry of lightlike submanifolds. For instance, see, among others, the following articles; [1,2,7,8,9,10,11,12,14,15,16,17].…”