On Z-Symmetric Manifold Admitting Projective Curvature Tensor

被引：2

作者：

Yavuz Tasci, Ayse ^{[1
]}

Zengin, Fusun Ozen ^{[2
]}

机构：

[1] Piri Reis Univ, TR-34940 Istanbul, Turkey

[2] Istanbul Tech Univ, Dept Math, TR-34469 Istanbul, Turkey

来源：

INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY | 2022年 / 15卷 / 01期

关键词：

Projective curvature tensor; Z-symmetric tensor; Codazzi tensor; recurrent tensor;

D O I：

10.36890/IEJG.986956

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：39 / 46

页数：8

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