A classification of conformally flat generalized Ricci recurrent pseudo-Riemannian manifolds
Document Type
Article
Publication Date
2-1-2022
Abstract
Conformally flat pseudo-Riemannian manifolds with generalized Ricci recurrent, (GR)(n) structure are completely classified in this short report. A conformally flat generalized Ricci recurrent pseudo-Riemannian manifold is shown to be an Einstein manifold. In particular, a conformally flat generalized Ricci recurrent spacetime must be either a de Sitter spacetime or an anti-de Sitter spacetime.
Keywords
Generalized Ricci recurrent manifolds, Conformally flat manifolds, De Sitter spacetimes, Anti-de Sitter spacetimes
Publication Title
International Journal Of Geometric Methods In Modern Physics
Recommended Citation
Loo, Tee-How and De, Avik, "A classification of conformally flat generalized Ricci recurrent pseudo-Riemannian manifolds" (2022). Research Publications (2021 to 2025). 9182.
https://knova.um.edu.my/research_publications_2021_2025/9182
Divisions
MathematicalSciences
Funders
FRGS/1/2019/STG06/UM/02/6
Volume
19
Issue
02
Publisher
World Scientific Publ Co Pte Ltd
Publisher Location
5 TOH TUCK LINK, SINGAPORE 596224, SINGAPORE