Some Notes on Metallic Kahler Manifolds

The present paper deals with metallic Kahler manifolds. Firstly, we define a tensor H which can be written in terms of the (0, 4)-Riemannian curvature tensor and the fundamental 2-form of a metallic Kahler manifold and study its properties and some hybrid tensors. Secondly, we obtain the conditions under which a metallic Hermitian manifold is conformal to a metallic Kahler manifold. Thirdly, we prove that the conformal recurrency of a metallic Kahler manifold implies its recurrency and also obtain the Riemannian curvature tensor form of a conformally recurrent metallic Kahler manifold with non-zero scalar curvature. Finally, we present a result related to the notion of Z recurrent form on a metallic Kahler manifold.