A classification of conformally flat generalized Ricci recurrent pseudo-Riemannian manifolds
arXiv:2107.05389 · doi:10.1142/S0219887822500232
Abstract
Conformally flat pseudo-Riemannian manifolds with generalized Ricci recurrent, structure are completely classified in this short report. A conformally flat generalized Ricci recurrent pseudo-Riemannian manifold is shown to be either a de Sitter space or an anti-de Sitter space. In particular, a conformally flat generalized Ricci recurrent spacetime must be either a de Sitter spacetime or an anti-de Sitter spacetime.