On conformally recurrent Kahlerian Weyl spaces

Fatma Özdemir; Gülçin Çivi Yildirim

doi:10.1016/j.topol.2004.11.004

On conformally recurrent Kahlerian Weyl spaces

Fatma Özdemir^*
, Gülçin Çivi Yildirim

^*Corresponding author for this work

Department of Mathematics Engineering

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	477-484
Number of pages	8
Journal	Topology and its Applications
Volume	153
Issue number	2-3 SPEC. ISS.
DOIs	https://doi.org/10.1016/j.topol.2004.11.004
Publication status	Published - 1 Sept 2005

Keywords

Conformal recurrency
Hybrid tensor
Kahlerian Weyl spaces
Prolonged derivative
Pure tensor
Weyl space

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10.1016/j.topol.2004.11.004

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title = "On conformally recurrent Kahlerian Weyl spaces",

abstract = "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 Hijis 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 = 1/2 RijklFkl. 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.",

keywords = "Conformal recurrency, Hybrid tensor, Kahlerian Weyl spaces, Prolonged derivative, Pure tensor, Weyl space",

author = "Fatma {\"O}zdemir and Yildirim, \{G{\"u}l{\c c}in {\c C}ivi\}",

year = "2005",

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T1 - On conformally recurrent Kahlerian Weyl spaces

AU - Özdemir, Fatma

AU - Yildirim, Gülçin Çivi

PY - 2005/9/1

Y1 - 2005/9/1

N2 - 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 Hijis 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 = 1/2 RijklFkl. 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.

AB - 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 Hijis 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 = 1/2 RijklFkl. 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.

KW - Conformal recurrency

KW - Hybrid tensor

KW - Kahlerian Weyl spaces

KW - Prolonged derivative

KW - Pure tensor

KW - Weyl space

UR - https://www.scopus.com/pages/publications/27644522470

U2 - 10.1016/j.topol.2004.11.004

DO - 10.1016/j.topol.2004.11.004

M3 - Article

AN - SCOPUS:27644522470

SN - 0166-8641

VL - 153

SP - 477

EP - 484

JO - Topology and its Applications

JF - Topology and its Applications

IS - 2-3 SPEC. ISS.

ER -

On conformally recurrent Kahlerian Weyl spaces

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Keywords

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