Concircularly flat Z-symmetric manifolds

The object of the present paper is to study concircularly flat Z-symmetric manifold which is a type of non-flat Riemannian manifold. In the first section, we give the definition of a concircularly flat Z-symmetric manifold. In the second section, some theorems about these manifolds are proved and some properties of them are obtained. In the last section, we give an example for the existence of this manifold.