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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: Loo, Tee-How, De, Avik
Format: Article
Published: World Scientific Publ Co Pte Ltd 2022
Subjects:
QC Physics
Online Access:http://eprints.um.edu.my/33424/
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spelling my.um.eprints.334242022-08-03T02:24:47Z http://eprints.um.edu.my/33424/ A classification of conformally flat generalized Ricci recurrent pseudo-Riemannian manifolds Loo, Tee-How De, Avik QC Physics 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. World Scientific Publ Co Pte Ltd 2022-02 Article PeerReviewed 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 <https://doi.org/10.1142/S0219887822500232>. 10.1142/S0219887822500232
institution Universiti Malaya
building UM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Malaya
content_source UM Research Repository
url_provider http://eprints.um.edu.my/
topic QC Physics
spellingShingle QC Physics
Loo, Tee-How
De, Avik
A classification of conformally flat generalized Ricci recurrent pseudo-Riemannian manifolds
description 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.
format Article
author Loo, Tee-How
De, Avik
author_facet Loo, Tee-How
De, Avik
author_sort Loo, Tee-How
title A classification of conformally flat generalized Ricci recurrent pseudo-Riemannian manifolds
title_short A classification of conformally flat generalized Ricci recurrent pseudo-Riemannian manifolds
title_full A classification of conformally flat generalized Ricci recurrent pseudo-Riemannian manifolds
title_fullStr A classification of conformally flat generalized Ricci recurrent pseudo-Riemannian manifolds
title_full_unstemmed A classification of conformally flat generalized Ricci recurrent pseudo-Riemannian manifolds
title_sort classification of conformally flat generalized ricci recurrent pseudo-riemannian manifolds
publisher World Scientific Publ Co Pte Ltd
publishDate 2022
url http://eprints.um.edu.my/33424/
_version_ 1740826030213431296
score 13.160551

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