A classification of conformally flat generalized Ricci recurrent pseudo-Riemannian manifolds
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 generalize...
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Main Authors: | , |
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Format: | Article |
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World Scientific Publ Co Pte Ltd
2022
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Online Access: | http://eprints.um.edu.my/33424/ |
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Summary: | 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. |
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