Certain Geometrical Properties of Generalized ϕ- Recurrent Lp-Sasakian Manifolds

Abstract

In this paper, we investigate the hyper generalized -recurrent LP-Sasakian manifold’s geometrical features. Among others things, we have demonstrated the Ricci semi-symmetry of a hyper generalized -recurrent LP-Sasakian manifold with non vanishing scalar curvature. An example is shown to demonstrate the existence of a hyper generalized -recurrent LP-Sasakian manifold. After that, we examine quasi generalized -recurrent LP-Sasakian manifold and their different characteristics. We have also demonstrated that a quasi generalized -recurrent LP-Sasakian manifold is a quasi-generalized Ricci-recurrent manifold.