Some Curvature Properties of Normal Paracontact Metric Manifolds

Abstract

The object of the present paper is to study curvature properties of a normal paracontact metric manifold with constant sectional curvature satisfying the conditions Z(ξ, X)R = 0, Z(ξ, X)P = 0, Z(ξ, X)Z = 0, Z(ξ, X)S = 0 and Z(ξ, X)C = 0. According to these cases, we classified normal paracontact metric manifolds, where R is the Riemanniann curvature tensor, C is the quasi-conformal curvature tensor, P is the projective curvature tensor, Z is the concircular curvature tensor and is the Ricci tensor.