A classification of conformally flat generalized Ricci recurrent pseudo-Riemannian manifolds
نویسندگان
چکیده
Conformally flat pseudo-Riemannian manifolds with generalized Ricci recurrent, $(GR)_n$ structure are completely classified in this short report. A conformally recurrent manifold is shown to be either a de Sitter space or an anti-de space. In particular, spacetime must spacetime.
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ژورنال
عنوان ژورنال: International Journal of Geometric Methods in Modern Physics
سال: 2021
ISSN: ['0219-8878', '1793-6977']
DOI: https://doi.org/10.1142/s0219887822500232