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A classification of conformally flat generalized Ricci recurrent pseudo-Riemannian manifolds (2107.05389v1)
Published 8 Jul 2021 in math.DG
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 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.
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