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Z-Symmetric Manifolds Admitting Schouten Tensor

Author

Listed:
  • 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)

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.

Suggested Citation

  • Mohabbat Ali & Abdul Haseeb & Fatemah Mofarreh & Mohd Vasiulla, 2022. "Z-Symmetric Manifolds Admitting Schouten Tensor," Mathematics, MDPI, vol. 10(22), pages 1-10, November.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:22:p:4293-:d:974735
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    References listed on IDEAS

    as
    1. Mohd Vasiulla & Abdul Haseeb & Fatemah Mofarreh & Mohabbat Ali, 2022. "Application of Mixed Generalized Quasi-Einstein Spacetimes in General Relativity," Mathematics, MDPI, vol. 10(20), pages 1-11, October.
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