On conformally recurrent Kahlerian Weyl spaces

Ozdemir F. , YILDIRIM G. H.

TOPOLOGY AND ITS APPLICATIONS, cilt.153, ss.477-484, 2005 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 153
  • Basım Tarihi: 2005
  • Doi Numarası: 10.1016/j.topol.2004.11.004
  • Sayfa Sayıları: ss.477-484


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-ij is a tensor of weight {0} which can be written in terms of the covariant curvature tensor R-ijkl and an antisymmetric tensor F-kl by H-ij = 1/2R(ijkl)F(kl). 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 F-ij. We also prove that the conformal recurrency of Kahlerian Weyl space implies its recurrency. (c) 2004 Elsevier B.V. All rights reserved.