Insufficiency of the Ricci and Bianchi identities for characterising curvature

DOI10.1016/0393-0440(89)90006-5zbMath0681.53007OpenAlexW2024803319MaRDI QIDQ1823476

Alan D. Rendall

Publication date: 1989

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0393-0440(89)90006-5

zbMATH Keywords

curvature tensorBianchi identitiesintegrability conditionsequivalence problemRicci identities

Mathematics Subject Classification ID

General relativity (83C99) Local Riemannian geometry (53B20)

Related Items (6)

Sufficient conditions for a curvature tensor to be Riemannian and for determining its metric ⋮ Characterization of Riemann tensors using Ricci-type equations ⋮ Conditions for a symmetric connection to be a metric connection ⋮ Spacetimes in which the Ricci equations characterize the Riemann tensor ⋮ Integration methods within existing tetrad formalisms in general relativity ⋮ Sufficiency of the Ricci equations for characterizing the Riemann tensor

Cites Work

• Does a generic connection depend continuously on its curvature?
• Algebraic determination of the metric from the curvature in general relativity
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