On Z-Symmetric Manifold Admitting Projective Curvature Tensor

Year 2022, Volume: 15 Issue: 1, 39 - 46, 30.04.2022

Ayşe Yavuz Taşcı Füsun Özen

https://doi.org/10.36890/iejg.986956

Cited By: 1

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

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