INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY, vol.15, no.1, pp.39-46, 2022 (ESCI)
Article / Article
INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY
Emerging Sources Citation Index (ESCI), TR DİZİN (ULAKBİM)
Projective curvature tensor, Z-symmetric tensor, Codazzi tensor, recurrent tensor
Istanbul Technical University Affiliated:
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.