On Pseudo-Petrov Symmetric Riemannian Manifolds

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

ADVANCES IN MATHEMATICAL PHYSICS, 2016 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2016
  • Doi Numarası: 10.1155/2016/9615053
  • Dergi Adı: ADVANCES IN MATHEMATICAL PHYSICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Marmara Üniversitesi Adresli: Evet

Özet

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.