On normal almost paracontactmetric manifolds of dimension 3

Abstract

In this study, we make the first contribution to investigating conditions under which normal almost paracontact metric manifold of dimension 3 has cyclic parallel Ricci tensor,eta-parallel Ricci tensor, Ricci-semisymmetry and locally. (phi) over bar -symmetry. In the end an example of a 3-dimensional normal almost paracontact metric manifold which is locally. (phi) over bar -symmetric and has cyclic parallel Ricci tensor is presented.