On a type of P-Sasakian manifolds
Keywords:
Para-Sasakian manifold, pseudo-projectively symmetric, pseudoprojectively at, Φ-projectively semisymmetric, locally Φ-projectively symmetric, Einstein manifoldAbstract
In this paper, we investigate pseudo-projectively symmetric P-Sasakian manifolds and P-Sasakian manifolds satisfying the condition R(X, ξ)•P = P(X, ξ)•R. Next, we study P-Sasakian manifolds satisfying the curvature condition P •S = 0 and pseudoprojectively at P-Sasakian manifolds. Further, we discuss Φ-projectively semi-symmetric and locally Φ-projectively symmetric P-Sasakian manifolds. Finally, we construct an example of a 5-dimensional P-Sasakian manifold to verify some results.