On Pseudo-Petrov Symmetric Riemannian Manifolds

Sanjib Kumar Jana, Fusun Nurcan, Amit Kumar Debnath and Joydeep Sengupta

Advances in Mathematical Physics, 2016, vol. 2016, 1-8

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.

Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlamp:9615053

DOI: 10.1155/2016/9615053

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