Some Properties of Generalized Einstein Tensor for a Pseudo-Ricci Symmetric Manifold

Uysal S. A., Bagdatli Yilmaz H.

ADVANCES IN MATHEMATICAL PHYSICS, cilt.2020, 2020 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 2020
  • Basım Tarihi: 2020
  • Doi Numarası: 10.1155/2020/6831650
  • Dergi Adı: ADVANCES IN MATHEMATICAL PHYSICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Applied Science & Technology Source, Computer & Applied Sciences, INSPEC, zbMATH, Directory of Open Access Journals
  • Marmara Üniversitesi Adresli: Evet

Özet

The object of the paper is to study some properties of the generalized Einstein tensor G(X, Y) which is recurrent and birecurrent on pseudo-Ricci symmetric manifolds (PRS)(n). Considering the generalized Einstein tensor G(X, Y) as birecurrent but not recurrent, we state some theorems on the necessary and sufficient conditions for the birecurrency tensor of G(X, Y) to be symmetric.