Conditions for a symmetric connection to be a metric connection
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Publication:4030972
DOI10.1063/1.529867zbMath0768.53006OpenAlexW2046775757MaRDI QIDQ4030972
Publication date: 1 April 1993
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.529867
General relativity (83C99) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)
Related Items (5)
Necessary and sufficient conditions for (i) Weyl, (ii) Riemann-Cartan connections ⋮ Metrics compatible with a symmetric connection in dimension three ⋮ Space-time constructivism \textit{vs.} modal provincialism: Or, how special relativistic theories needn't show Minkowski chronogeometry ⋮ Space-time philosophy reconstructed \textit{via} massive Nordström scalar gravities? Laws \textit{vs.} geometry, conventionality, and underdetermination ⋮ A note on symmetric connections
Cites Work
- Sufficiency of the Ricci equations for characterizing the Riemann tensor
- Curvature collineations and the determination of the metric from the curvature in General Relativity
- Connections and symmetries in spacetime
- The curvature problem in general relativity
- Insufficiency of the Ricci and Bianchi identities for characterising curvature
- On regular curvature structures
- Conditions on a connection to be a metric connection
- Curvature of generic space-times in general relativity
- Curvature structure in general relativity
- Conditions for the local existence of metric in a generic affine manifold
- Determination of the metric tensor from components of the Riemann tensor
- Sufficient conditions for a curvature tensor to be Riemannian and for determining its metric
- Principal null directions of Petrov type I Weyl spinors: geometry and symmetry
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