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Sectional curvature and the determination of the metric in space-time
Authors:G. S. Hall
Affiliation:(1) Department of Mathematics, University of Aberdeen, Edward Wright Building, Dunbar Street, AB9 2TY Aberdeen, Scotland, UK
Abstract:It is shown that if the sectional (Riemannian) curvature function is given at all spacetime points, then, apart from a very special class of space-times, the metric is uniquely determined.
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