Z-symmetric manifold admitting concircular Ricci symmetric tensor

A. Yavuz Taşci; F. Özen Zengin

doi:10.1007/s13370-020-00782-5

Z-symmetric manifold admitting concircular Ricci symmetric tensor

A. Yavuz Taşci, F. Özen Zengin^*

^*Corresponding author for this work

Department of Mathematics Engineering

Piri Reis University

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

3 Citations (Scopus)

Abstract

This paper deals with Z-symmetric Riemannian manifolds with concircular Ricci symmetric tensor. In the first section, we give an introduction of Z-symmetric manifold. In the second section, the definition of concircular Ricci symmetric tensor is given. In the third section, we introduce Z-symmetric Riemannian manifold admitting concircular Ricci symmetric tensor and we examine some properties of these manifolds. In the last section, we study Z-symmetric spacetimes admitting concircular Ricci symmetric tensor and we give two examples for the existence of these manifolds.

Original language	English
Pages (from-to)	1093-1104
Number of pages	12
Journal	Afrika Matematika
Volume	31
Issue number	7-8
DOIs	https://doi.org/10.1007/s13370-020-00782-5
Publication status	Published - 1 Nov 2020

Bibliographical note

Publisher Copyright:
© 2020, African Mathematical Union and Springer-Verlag GmbH Deutschland, ein Teil von Springer Nature.

Keywords

Concircular ricci symmetric tensor
Recurrence vector field
Z-symmetric tensor

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10.1007/s13370-020-00782-5

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AB - This paper deals with Z-symmetric Riemannian manifolds with concircular Ricci symmetric tensor. In the first section, we give an introduction of Z-symmetric manifold. In the second section, the definition of concircular Ricci symmetric tensor is given. In the third section, we introduce Z-symmetric Riemannian manifold admitting concircular Ricci symmetric tensor and we examine some properties of these manifolds. In the last section, we study Z-symmetric spacetimes admitting concircular Ricci symmetric tensor and we give two examples for the existence of these manifolds.

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Z-symmetric manifold admitting concircular Ricci symmetric tensor

Abstract

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Keywords

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