Z-Symmetric Manifolds Admitting Schouten Tensor

Mohabbat Ali, Abdul Haseeb (), Fatemah Mofarreh and Mohd Vasiulla
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Mohabbat Ali: Department of Applied Sciences & Humanities, Jamia Millia Islamia (Central University), New Delhi 110025, India
Abdul Haseeb: Department of Mathematics, College of Science, Jazan University, Jazan 45142, Saudi Arabia
Fatemah Mofarreh: Mathematical Science Department, Faculty of Science, Princess Nourah Bint Abdulrahman University, Riyadh 11546, Saudi Arabia
Mohd Vasiulla: Department of Applied Sciences & Humanities, Jamia Millia Islamia (Central University), New Delhi 110025, India

Mathematics, 2022, vol. 10, issue 22, 1-10

Abstract: The paper deals with the study of Z-symmetric manifolds ( Z S ) n 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 ( Z S ) 4 spacetimes admitting Codazzi type Schouten tensor. Finally, we construct an example of ( Z S ) 4 to verify our result.

Keywords: schouten tensor; Z-symmetric tensor; codazzi type tensor; Z symmetric spacetimes (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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