On Pseudo-Petrov Symmetric Riemannian Manifolds


Jana S. K. , NURCAN A. F. , Debnath A. K. , Sengupta J.

ADVANCES IN MATHEMATICAL PHYSICS, 2016 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Publication Date: 2016
  • Doi Number: 10.1155/2016/9615053
  • Title of Journal : ADVANCES IN MATHEMATICAL PHYSICS

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.