H-Projective curvature and ricci recurrent manifolds

The theory of some H-projective curvature tensor properties inside a Kähler manifold [4]. That was developed further [5], [6], and[9]. The aim of this paper is to introduce recurrent manifolds on the H-projective Curvature and Ricci, and to research their properties with regard to other similar tensors. The H-projective curvature and n-recurrent Ricci tensor were studied. The paper is organized as follows. In section one; required details are given on recurring manifolds Curvature and Ricci. We have studied some of the curvature and Ricci tensor properties in section two and their equations are satisfied. In section three, with non-vanishing, we describe from n-recurrent to Ricci n-recurrent,, 2 forms and also define that the manifold is from n-symmetric to Ricci n-symmetric. In section four, we show that some H-projective curvature tensor theorems are in the form of n-recurrent and n-symmetric.