Z-Symmetric Manifolds Admitting Schouten Tensor

被引：1

作者：

Ali, Mohabbat ^{[1
]}

Haseeb, Abdul ^{[2
]}

Mofarreh, Fatemah ^{[3
]}

Vasiulla, Mohd ^{[1
]}

机构：

[1] Jamia Millia Islamia, Dept Appl Sci & Humanities, New Delhi 110025, India

[2] Jazan Univ, Coll Sci, Dept Math, Jazan 45142, Saudi Arabia

[3] Princess Nourah Bint Abdulrahman Univ, Fac Sci, Math Sci Dept, Riyadh 11546, Saudi Arabia

来源：

MATHEMATICS | 2022年 / 10卷 / 22期

关键词：

schouten tensor; Z-symmetric tensor; codazzi type tensor; Z symmetric spacetimes; SPACE;

D O I：

10.3390/math10224293

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The paper deals with the study of Z-symmetric manifolds (ZS), admitting certain cases of Schouten tensor (specifically: Ricci-recurrent, cyclic parallel, Codazzi type and covariantly constant), and investigate some geometric and physical properties of the manifold. Moreover, we also study (ZS)(4) spacetimes admitting Codazzi type Schouten tensor. Finally, we construct an example of (ZS)(4) to verify our result.

引用

页数：10

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