Non-Invariant Hypersurfaces of Quasi-Para-Sasakian Manifolds

Abstract

In this research paper, we analyze a non-invariant hypersurfaces of a quasi-para-Sasakian manifold with (f , g, u, v, λ)-structure. The paper is divided into two sections. In the first section the properties of non-invariant hypersurfaces of a quasi-para-Sasakian manifold with (f , g, u, v,λ)-structure are discussed. In second section, the necessary and sufficient condition for totally umbilical non- invariant hypersurfaces equipped with (f , g, u, v, λ)-structure of a quasi-para- Sasakian manifold to be totally geodesic has been explored.