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Connections and symmetries in spacetime. (English) Zbl 0642.53027
The extent to which a symmetric metric connection on spacetime determines the metric is given in form of a table relating the possible types of the holonomy algebra to the metric freedom. From these results conditions for the possibly existing symmetries (affine collineations) can be derived.
Reviewer: H.Stephani

MSC:
53B30 Local differential geometry of Lorentz metrics, indefinite metrics
53B50 Applications of local differential geometry to the sciences
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