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Reduction theorems for principal and classical connections. (English) Zbl 1186.53036
Reduction theorems of Utiyama type are proved for gauge natural operators transforming principal or classical linear connections on the base manifold into sections of an arbitrary gauge natural bundle. These results are applied to principal prolongation of connections. Also, all such gauge natural operators are described for some special cases of Lie groups.
##### MSC:
 53C05 Connections, general theory 53C80 Applications of global differential geometry to physics 58A20 Jets (global analysis) 58A32 Natural bundles (global analysis)
##### References:
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