Riemannian curvature and the classification of the Riemann and Ricci tensors in space-time

DOI10.1007/BF00671764zbMath0426.53020OpenAlexW2011226541WikidataQ115394966 ScholiaQ115394966MaRDI QIDQ1136103

W. J. Cormack, Graham S. Hall

Publication date: 1979

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00671764

zbMATH Keywords

sectional curvatureRicci tensorPetrov classification of gravitational fields

Mathematics Subject Classification ID

General relativity (83C99) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (8)

Sectional curvature, symmetries, and conformally flat plane waves ⋮ Sectional curvature and tidal accelerations ⋮ Spinors, algebraic geometry, and the classification of second-order symmetric tensors in general relativity ⋮ Sectional curvature in general relativity ⋮ Sectional curvature and the determination of the metric in space-time ⋮ GENERAL RELATIVITY AND SECTIONAL CURVATURE ⋮ The generic condition is generic ⋮ The significance of curvature in general relativity

Cites Work

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• Gravitational waves in general relativity. VI. The outgoing radiation condition
• Morse Theory. (AM-51)
• The classification of the Ricci tensor in general relativity theory
• Invariant two-spaces and canonical forms for the Ricci tensor in general relativity
• Curvature and the Petrov Canonical Forms

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