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Reduction theorems for principal and classical connections |
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| Authors: | Miroslav Doupovec Włodzimierz M Mikulski |
| Institution: | [1]Department of Mathematics, Brno University of Technology, Technickd 2, 616 69 Brno, Czech Republic [2]Institute of Mathematics, Jagiellonian University, Lojasiewicza 6, Krakow, Poland |
| Abstract: | We prove general reduction theorems for gauge natural operators transforming principal connections and classical linear connections on the base manifold into sections of an arbitrary gauge natural bundle. Then we apply our results to the principal prolongation of connections. Finally we describe all such gauge natural operators for some special cases of a Lie group G. |
| Keywords: | Gauge natural operator reduction theorem principal prolongation |
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