, Volume 26, Issue 1, pp 169-184

Reduction theorems for principal and classical connections

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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.

The first author is supported by the Ministry of Education of Czech Republic under the project MSM 0021630518