Sufficiency of the Ricci equations for characterizing the Riemann tensor

DOI10.1016/0393-0440(90)90011-QzbMath0727.53031MaRDI QIDQ803545

S. Brian Edgar

Publication date: 1990

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

zbMATH Keywords

Riemann tensorLevi-Civita connectionintegrability conditionsspace-timeRicci identity

Mathematics Subject Classification ID

Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (4)

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

Cites Work

• Insufficiency of the Ricci and Bianchi identities for characterising curvature
• An Approach to Gravitational Radiation by a Method of Spin Coefficients
• The Riemann tensor, the metric tensor, and curvature collineations in general relativity
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