Conformal flatness of compact three-dimensional Cotton-parallel manifolds

DOI10.1090/proc/16446arXiv2301.06700OpenAlexW4321492443MaRDI QIDQ6183393

Ivo Terek

Publication date: 4 January 2024

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2301.06700

zbMATH Keywords

Weyl tensorconformal symmetryLorentz manifoldsconformal flatnessCotton tensor

Mathematics Subject Classification ID

Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

Cites Work

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• Three-dimensional conformally symmetric manifolds
• The local structure of conformally symmetric manifolds
• Projectively flat surfaces, null parallel distributions, and conformally symmetric manifolds
• Compact pseudo-Riemannian manifolds with parallel Weyl tensor
• A note on compact Cotton solitons
• On conformally symmetric Ricci-recurrent spaces
• The metric structure of compact rank-one ECS manifolds

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