Compatibility of φ (Ric)-vector fields on almost pseudo-Ricci symmetric manifolds

Yllmaz H., Aynur Uysal S.

International Journal of Geometric Methods in Modern Physics, cilt.18, 2021 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 18
  • Basım Tarihi: 2021
  • Doi Numarası: 10.1142/s0219887821501280
  • Dergi Adı: International Journal of Geometric Methods in Modern Physics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, Metadex, zbMATH, Civil Engineering Abstracts
  • Anahtar Kelimeler: Almost pseudo-Ricci symmetric manifold, special vector field, Riemanncompatible, Weyl-compatible, purely electric space-time, TENSOR
  • Marmara Üniversitesi Adresli: Evet

Özet

© 2021 World Scientific Publishing Company.The object of the paper is to study the compatibility of φ(Ric)-vector fields on almost pseudo-Ricci symmetric manifolds, briefly A(PRS)n. First, we show the existence of an A(PRS)n whose basic vector field w(X) is a φ(Ric)-vector field by constructing a non-trivial example. Then, we investigate the properties of the Riemann and Weyl compatibility of A(PRS)n under certain conditions. We consider an A(PRS)4 space-time whose basic vector fields π(X) and ω(X) is φ(Ric)-vector fields of constant length. Moreover, we show that an A(PRS)4 space-time whose Ricci tensor is of Codazzi type and basic vector field ω(X) is φ(Ric)-vector field is purely electric space-time.