On Z-Symmetric Manifold Admitting Projective Curvature Tensor

Authors : Ayşe YAVUZ TAŞCI, Füsun ÖZEN

Pages : 39-46

Doi:10.36890/iejg.986956

View : 7 | Download : 5

Publication Date : 2022-04-30

Article Type : Research Paper

Abstract :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.
Keywords : Projective curvature tensor, Z symmetric tensor, Codazzi tensor, recurrent tensor