On quasi-Einstein Weyl manifolds

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Abstract

In this work, first, we define quasi-Einstein Weyl manifold which is one of the generalization of Einstein-Weyl manifold. Then, we prove its existence and construct an example. Moreover, we consider quasi-Einstein Weyl manifolds with semi-symmetric and Ricci-quarter symmetric connections. Finally, we examine conformal and generalized concircular mappings of quasi-Einstein Weyl manifolds and prove that quasi-Einstein Weyl manifolds are invariant under the generalized concircular mappings.

Original languageEnglish
Article number1750122
JournalInternational Journal of Geometric Methods in Modern Physics
Volume14
Issue number9
DOIs
Publication statusPublished - 1 Sept 2017

Bibliographical note

Publisher Copyright:
© 2017 World Scientific Publishing Company.

Keywords

  • conformal transformation
  • generalized concircular transformation
  • Quasi-Einstein manifold

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