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On Special Curvature Tensor in a Generalized 2-recurrent Smooth Riemannian Manifold

In this paper, we have discussed on a special type of curvature tensor in a smooth Riemannian manifold and have studied its cyclic and differentiable properties. We have also studied the 2-recurrence properties of the tensor S, T, F and H in Riemannian manifold as well as in an Einstein manifold.