On Z-Symmetric Manifold Admitting Projective Curvature Tensor
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CitationTAŞCI, A. Y., & Füsun, Ö. Z. E. N. (2020). On Z-symmetric manifold admitting projective curvature tensor. International Electronic Journal of Geometry, 15(1), p. 39-46.
The object of the present paper is to study the Z-symmetric manifold with the projective curvature tensor. At first, we study the case of Z-tensor and projective Ricci tensor being of Codazzi type. Next, we consider recurrent Z-tensor and recurrent projective Ricci tensor. We also study the Z-symmetric manifold with projective curvature tensor with divergence-free Z-tensor. Finally, we construct an example of the Z-symmetric manifold with projective curvature tensor.