Geometry of Lightlike Hypersurfaces in a Class of Almost (α,p)-Metallic Semi-Riemannian Manifold

The aim of this paper is to investigate the geometry of lightlike hypersurfaces in an $(\alpha ,p)$-silver semi-Riemannian manifold. Our work analyzes the behavior of the structures induced on a lightlike hypersurface by the $(\alpha ,p)$-silver semi-Riemannian framework. We define and introduce the geometry of invariant, anti-invariant, and screen semi-invariant lightlike hypersurfaces within an almost $(\alpha ,p)$-silver semi-Riemannian manifold. Furthermore, we develop results concerning parallelism and geodesicity of the associated distributions and illustrate these findings with suitable examples.