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Z-symmetric manifold admitting concircular Ricci symmetric tensor

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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.

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Correspondence to F. Özen Zengin.

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Taşci, A.Y., Zengin, F.Ö. Z-symmetric manifold admitting concircular Ricci symmetric tensor. Afr. Mat. 31, 1093–1104 (2020). https://doi.org/10.1007/s13370-020-00782-5

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