On conformally recurrent Kahlerian Weyl spaces

We consider a conformally recurrent Kahlerian Weyl space on which some pure and hybrid tensors are defined. We define the tensor G_ij of weight {0} by G_ij = H_ij- H_ji, where H_ijis a tensor of weight {0} which can be written in terms of the covariant curvature tensor R_ijkl and an anti-symmetric tensor F^kl by H_ij = 1/2 R_ijklF^kl. It is shown that a Kahlerian Weyl space is an Einstein-Weyl space if and only if the tensor G_ij is proportional to the tensor F_ij. We also prove that the conformal recurrency of Kahlerian Weyl space implies its recurrency.