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On Pseudo-Petrov Symmetric Riemannian Manifolds

Author

Listed:
  • Sanjib Kumar Jana
  • Fusun Nurcan
  • Amit Kumar Debnath
  • Joydeep Sengupta

Abstract

The present paper deals with pseudo-Petrov symmetric Riemannian manifolds whose space-matter tensor satisfies a special condition. Firstly, basic results of pseudo-Petrov symmetric Riemannian manifolds are obtained. Then, pseudo-Petrov symmetric manifolds which are Einstein, quasi-Einstein, and locally decomposable are examined and some theorems involving these manifolds are proved. Finally, two examples proving the existence of pseudo-Petrov symmetric Riemannian manifolds are given.

Suggested Citation

  • Sanjib Kumar Jana & Fusun Nurcan & Amit Kumar Debnath & Joydeep Sengupta, 2016. "On Pseudo-Petrov Symmetric Riemannian Manifolds," Advances in Mathematical Physics, Hindawi, vol. 2016, pages 1-8, March.
    • Handle: RePEc:hin:jnlamp:9615053
    DOI: 10.1155/2016/9615053
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