Connections on Ber Bundles and Canonical Extensions of Diierential Forms
نویسنده
چکیده
This article treats connections on ber bundles B = P G F that are induced by a connection 1-form on the associated principal bundle P. Using horizontal lifts of vector elds it is shown which combinations of diierential forms on the ber F and on P canonically deene diierential forms on B. Local representations for these forms involving the gauge potentials and elds of the connection are given and lead to formulas for the exterior derivative. Finally the case of an abelian structure group, especially G = S 1 , is examined.
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