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, 2021 (Journal Indexed in SCI Expanded) identifier

  • Publication Type: Article / Article
  • Volume:
  • Publication Date: 2021
  • Doi Number: 10.1142/s0219887821501280
  • Title of Journal : International Journal of Geometric Methods in Modern Physics

Abstract

© 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.