Some Types Hypersurfaces of Meta-Metallic Riemannian Manifolds

Abstract

In this paper, we study submanifolds within meta-metallic Riemannian manifolds, focusing specifically on hypersurfaces. We present key properties of the structures induced on these hypersurfaces by the meta-metallic Riemannian structure of the ambient manifold. Additionally, we provide characterizations for both invariant and non-invariant hypersurfaces within this class of manifolds.