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Conformal and generalized concircular mappings of Einstein-Weyl manifolds

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Conformal and generalized concircular mappings of Einstein-Weyl manifolds.pdf (179.9Kb)
Date
2010
Author
Özdeǧer, Abdülkadir
Abstract
In this article after giving a necessary and sufficient condition for two Einstein-Weyl manifolds to be in conformal correspondence we prove that any conformal mapping between such manifolds is generalized concircular if and only if the covector field of the conformal mapping is locally a gradient. Using this fact we deduce that any conformal mapping between two isotropic Weyl manifolds is a generalized concircular mapping. Moreover it is shown that a generalized concircularly flat Weyl manifold is generalized concircular to an Einstein manifold and that its scalar curvature is prolonged covariant constant. © 2010 Wuhan Institute of Physics and Mathematics.

Source

Acta Mathematica Scientia

Issue

5

Volume

30

Pages

1739-1745

URI

https://hdl.handle.net/20.500.12469/1564
https://dx.doi.org/10.1016/S0252-9602(10)60167-1

Collections

  • Araştırma Çıktıları / Scopus [1345]
  • Endüstri Mühendisliği / Industrial Engineering [124]

Keywords

Conformal mapping
Einstein-Weyl manifold
Generalized concircular mapping
Isotropic manifold

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