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Zbl 1186.53036
Doupovec, Miroslav; Mikulski, Włodzimierz M.
Reduction theorems for principal and classical connections. (English)
[J] Acta Math. Sin., Engl. Ser. 26, No. 1, 169-184 (2010). ISSN 1439-8516; ISSN 1439-7617/e

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.
[Radu Miron (Iaşi)]
MSC 2000:
*53C05 Connections, general theory
53C80 Appl. of global differential geometry to physics
58A20 Jets
58A32 Natural bundles

Keywords: gauge natural operator; reduction theorem; principal prolongation

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