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 Gij of weight {0} by Gij=Hij−Hji, where Hij is a tensor of weight {0} which can be written in terms of the covariant curvature tensor Rijkl and an anti-symmetric tensor Fkl by Hij=1/2RijklFkl. It is shown that a Kahlerian Weyl space is an Einstein-Weyl space if and only if the tensor Gij is proportional to the tensor Fij. We also prove that the conformal recurrency of Kahlerian Weyl space implies its recurrency.