On infinitesimal projective transformations of a Riemannian manifold with constant scalar curvature

Let M be a connected differentiate Riemannian manifold of dimension n and gⱼᵢ , ∇ⱼ , K_{kjiʰ} , Kⱼᵢ and K, respectively, the components of the metric tensor, the operator of covariant differentiation with respect to the Levi- Civita connection, the curvature tensor, the Ricci tensor and the scalar cur-