A classification of conformally flat generalized Ricci recurrent pseudo-Riemannian manifolds
Differential Geometry
2021-11-30 v1
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.
Keywords
Cite
@article{arxiv.2107.05389,
title = {A classification of conformally flat generalized Ricci recurrent pseudo-Riemannian manifolds},
author = {Avik De and Loo-Tee How},
journal= {arXiv preprint arXiv:2107.05389},
year = {2021}
}