Weyl manifold with a Ricci quarter-symmetric connection

E. O. Canfes; I. Gul

doi:10.1007/s40995-016-0099-3

Weyl manifold with a Ricci quarter-symmetric connection

E. O. Canfes^*, I. Gul

^*Corresponding author for this work

Department of Mathematics Engineering

Istanbul Technical University

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

1 Citation (Scopus)

Abstract

Many authors studied Ricci quarter-symmetric connection on metric and non-metric spaces. In this paper, a Weyl manifold with a Ricci-quarter symmetric connection is studied and the existence and uniqueness of a Ricci quarter-symmetric connection on a Weyl manifold is proved. Moreover, some properties of the Weyl manifold with a Ricci quarter-symmetric connection are given.

Original language	English
Pages (from-to)	171-175
Number of pages	5
Journal	Iranian Journal of Science and Technology, Transaction A: Science
Volume	40
Issue number	3
DOIs	https://doi.org/10.1007/s40995-016-0099-3
Publication status	Published - Sept 2016

Bibliographical note

Publisher Copyright:
© Shiraz University 2016.

Keywords

Einstein-Weyl manifold
Isotropic Weyl manifold
Ricci quarter-symmetric connection
Semi-symmetric connection
Weyl manifold

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10.1007/s40995-016-0099-3

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title = "Weyl manifold with a Ricci quarter-symmetric connection",

abstract = "Many authors studied Ricci quarter-symmetric connection on metric and non-metric spaces. In this paper, a Weyl manifold with a Ricci-quarter symmetric connection is studied and the existence and uniqueness of a Ricci quarter-symmetric connection on a Weyl manifold is proved. Moreover, some properties of the Weyl manifold with a Ricci quarter-symmetric connection are given.",

keywords = "Einstein-Weyl manifold, Isotropic Weyl manifold, Ricci quarter-symmetric connection, Semi-symmetric connection, Weyl manifold",

author = "Canfes, {E. O.} and I. Gul",

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AU - Gul, I.

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N2 - Many authors studied Ricci quarter-symmetric connection on metric and non-metric spaces. In this paper, a Weyl manifold with a Ricci-quarter symmetric connection is studied and the existence and uniqueness of a Ricci quarter-symmetric connection on a Weyl manifold is proved. Moreover, some properties of the Weyl manifold with a Ricci quarter-symmetric connection are given.

AB - Many authors studied Ricci quarter-symmetric connection on metric and non-metric spaces. In this paper, a Weyl manifold with a Ricci-quarter symmetric connection is studied and the existence and uniqueness of a Ricci quarter-symmetric connection on a Weyl manifold is proved. Moreover, some properties of the Weyl manifold with a Ricci quarter-symmetric connection are given.

KW - Einstein-Weyl manifold

KW - Isotropic Weyl manifold

KW - Ricci quarter-symmetric connection

KW - Semi-symmetric connection

KW - Weyl manifold

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JF - Iranian Journal of Science and Technology, Transaction A: Science

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ER -

Weyl manifold with a Ricci quarter-symmetric connection

Abstract

Bibliographical note

Keywords

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