On quasi-Einstein Weyl manifolds

Ilhan Gül; Elif Özkara Canfes

doi:10.1142/S0219887817501225

On quasi-Einstein Weyl manifolds

Ilhan Gül, Elif Özkara Canfes

Department of Mathematics Engineering

Istanbul Technical University

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

1 Citation (Scopus)

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 language	English
Article number	1750122
Journal	International Journal of Geometric Methods in Modern Physics
Volume	14
Issue number	9
DOIs	https://doi.org/10.1142/S0219887817501225
Publication status	Published - 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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10.1142/S0219887817501225

Cite this

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AB - 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.

KW - conformal transformation

KW - generalized concircular transformation

KW - Quasi-Einstein manifold

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ER -

On quasi-Einstein Weyl manifolds

Abstract

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Keywords

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