Loo, Tee-How and De, Avik (2022) A classification of conformally flat generalized Ricci recurrent pseudo-Riemannian manifolds. International Journal Of Geometric Methods In Modern Physics, 19 (02). ISSN 0219-8878, DOI https://doi.org/10.1142/S0219887822500232.
Full text not available from this repository.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 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.
| Item Type: | Article |
|---|---|
| Funders: | FRGS/1/2019/STG06/UM/02/6 |
| Uncontrolled Keywords: | Generalized Ricci recurrent manifolds; Conformally flat manifolds; De Sitter spacetimes; Anti-de Sitter spacetimes |
| Subjects: | Q Science > QC Physics |
| Divisions: | Faculty of Science > Institute of Mathematical Sciences |
| Depositing User: | Ms. Juhaida Abd Rahim |
| Date Deposited: | 03 Aug 2022 02:24 |
| Last Modified: | 03 Aug 2022 02:24 |
| URI: | http://eprints.um.edu.my/id/eprint/33424 |
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