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A classification of conformally flat generalized Ricci recurrent pseudo-Riemannian manifolds
Journal
International Journal of Geometric Methods in Modern Physics
ISSN
0219-8878
Date Issued
2021-11-27
Author(s)
DOI
10.1142/S0219887822500232
Abstract
<jats:p> Conformally flat pseudo-Riemannian manifolds with generalized Ricci recurrent, [Formula: see text] 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. </jats:p>
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