On Z-Symmetric Manifold Admitting Projective Curvature Tensor

Ayşe YAVUZ TAŞCI, Füsun ÖZEN
2022 International Electronic Journal of Geometry  
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 Zsymmetric manifold with projective curvature tensor with divergence-free Z-tensor. Finally, we construct an example of the Z-symmetric manifold with projective curvature tensor.
doi:10.36890/iejg.986956 fatcat:ifz47vohbzbqxdg4oi4p5jx5ee