Almost product and decomposable Ricci and curvature recurrent manifolds

The purpose of the present paper is too introduced on the Almost product and decomposable Ricci and Curvature recurrent manifolds and studied its properties with respect to other curvature and Ricci tensor. The almost product and decomposable curvature and Ricci tensor of n-recurrent is studied. In section one; necessary details about almost product and decomposable Ricci and Curvature recurrent manifolds are given. In section two, we have studied some properties of almost product and decomposable curvature and Ricci tensor and their equations are satisfied. In section three, we explain from n-recurrent to almost product and decomposable Ricci n-recurrent with non-vanishing, 2 forms and also define that the manifold is from n-symmetric to Ricci n-symmetric. In section four, we prove that some theorems of curvature tensor in the form of n-recurrent and n-symmetric.