Z-symmetric manifold admitting concircular Ricci symmetric tensor

Tasci A. Y., Zengin F.

AFRIKA MATEMATIKA, cilt.31, ss.1093-1104, 2020 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 31
  • Basım Tarihi: 2020
  • Doi Numarası: 10.1007/s13370-020-00782-5
  • Dergi Adı: AFRIKA MATEMATIKA
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, zbMATH
  • Sayfa Sayıları: ss.1093-1104
  • İstanbul Teknik Üniversitesi Adresli: Evet

Özet

This paper deals with Z-symmetric Riemannian manifolds with concircular Ricci symmetric tensor. In the first section, we give an introduction of Z-symmetric manifold. In the second section, the definition of concircular Ricci symmetric tensor is given. In the third section, we introduce Z-symmetric Riemannian manifold admitting concircular Ricci symmetric tensor and we examine some properties of these manifolds. In the last section, we study Z-symmetric spacetimes admitting concircular Ricci symmetric tensor and we give two examples for the existence of these manifolds.