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

2 Citations (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

Access to Document

10.1142/S0219887817501225

Cite this

@article{0531a5750ebe4090a004d25bc396ff86,

title = "On quasi-Einstein Weyl manifolds",

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.",

keywords = "conformal transformation, generalized concircular transformation, Quasi-Einstein manifold",

author = "Ilhan G{\"u}l and Canfes, \{Elif {\"O}zkara\}",

note = "Publisher Copyright: {\textcopyright} 2017 World Scientific Publishing Company.",

year = "2017",

month = sep,

day = "1",

doi = "10.1142/S0219887817501225",

language = "English",

volume = "14",

journal = "International Journal of Geometric Methods in Modern Physics",

issn = "0219-8878",

publisher = "World Scientific Publishing Co. Pte Ltd",

number = "9",

}

TY - JOUR

T1 - On quasi-Einstein Weyl manifolds

AU - Gül, Ilhan

AU - Canfes, Elif Özkara

PY - 2017/9/1

Y1 - 2017/9/1

N2 - 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.

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

UR - https://www.scopus.com/pages/publications/85018739448

U2 - 10.1142/S0219887817501225

DO - 10.1142/S0219887817501225

M3 - Article

AN - SCOPUS:85018739448

SN - 0219-8878

VL - 14

JO - International Journal of Geometric Methods in Modern Physics

JF - International Journal of Geometric Methods in Modern Physics

IS - 9

M1 - 1750122

ER -

On quasi-Einstein Weyl manifolds

Abstract

Bibliographical note

Keywords

Access to Document

Other files and links

Fingerprint

Cite this