GENERAL RELATIVITY AND SECTIONAL CURVATURE

DOI10.1142/S0219887806001405zbMath1113.53051OpenAlexW2171356228MaRDI QIDQ3426888

Graham S. Hall

Publication date: 13 March 2007

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219887806001405

zbMATH Keywords

plane wavessymmetriesRicci tensorGrassmann manifoldgeneral relativityLorentz metricvacuum space-timewave surfacesfour-dimensional connected Hausdorff manifoldfundamental quadricsectional curvature functionsectional curvature preserving symmetriessectional space-time with

Mathematics Subject Classification ID

Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Applications of global differential geometry to the sciences (53C80) Global submanifolds (53C40) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

Cites Work

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• Krümmungstreue Diffeomorphismen Riemannscher und pseudo-Riemannscher Mannigfaltigkeiten
• Sectional curvature and the determination of the metric in space-time
• Riemannian curvature and the classification of the Riemann and Ricci tensors in space-time
• Sectional curvature in general relativity
• Curvature of generic space-times in general relativity
• Sectional curvature, symmetries, and conformally flat plane waves
• Sectional curvature and the energy–momentum tensor
• Spinor Structure of Space-Times in General Relativity. I
• Curvature and the Petrov Canonical Forms

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