
doi: 10.1007/bf00768213
This paper gives a detailed account of the sectional curvature function in general relativity from both the mathematical and the physical viewpoint. Some recent results are rederived by more systematic methods and some new results are obtained. Symmetries of the sectional curvature are also considered, as is the topological structure of the space of sectional curvature functions of all Lorentz metrics on a given four- dimensional manifold.
Local differential geometry of Lorentz metrics, indefinite metrics, Applications of local differential geometry to the sciences, sectional curvature, general relativity, Lorentz metrics
Local differential geometry of Lorentz metrics, indefinite metrics, Applications of local differential geometry to the sciences, sectional curvature, general relativity, Lorentz metrics
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