On type of generalized (k,μ)-paracontact metric manifolds

Abstract

In this paper we investigate generalized (k; μ)-paracontact metric manifolds satisfying the curvature conditions R · P = 0 and P · S = 0, where R, P and S are the Riemannian curvature tensor, the projective curvature tensor and the Ricci tensor, respectively. Next, we study ξ-projectively at generalized (k; μ)-paracontact metric manifolds. Further, we study generalized (k; μ)-paracontact metric manifolds satisfying the curvature condition P(X; Y) · Φ = 0. Finally, we have cited an example of a generalized (k; μ)-paracontact metric manifold.