Characterization of Riemann tensors using Ricci-type equations

DOI10.1063/1.530431zbMath0967.53013OpenAlexW2029828922WikidataQ126008031 ScholiaQ126008031MaRDI QIDQ4317968

Barry M. Haddow

Publication date: 19 August 2001

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.530431

Mathematics Subject Classification ID

General relativity (83C99) Local Riemannian geometry (53B20) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Cites Work

• Sufficiency of the Ricci equations for characterizing the Riemann tensor
• Spacetimes in which the Ricci equations characterize the Riemann tensor
• Insufficiency of the Ricci and Bianchi identities for characterising curvature
• Holonomy groups in general relativity
• Complex recurrent space-times

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