In this study, we introduce indefinite sasakian statistical manifolds and lightlike hypersurfaces of an manifold. Some relations among induced geometrical objects with respect to dual connections in a hypersurface manifold are obtained. examples related these concepts also presented. Finally, prove that invariant submanifold is

It is shown that the degrees of freedom on the lightfront align themselves in such a way that it is enough to know their properties in one strip in lightlike direction of unit transversal size; a transversal tensor product foliation accounts for a Bekenstein-like area law of additive quantities as the entropy. This behavior is independent of details of models and we propose it as the basic loca...

We prove smooth and analytic versions of the classical Schwarz reflection principle for transversal CR mappings between two Levi-nondegenerate CR manifolds of hypersurface type.

Abstract Lightlike hypersurfaces in semi-Riemannian manifolds admitting concircular vector fields are investigated. We prove that such generally products of lightlike curves and warped product manifolds. In special cases, we show these totally geodesic or screen provided belong to their normal transversal bundles. A number examples furnished, where possible, illustrate the main concepts.