A Generalization of the Exterior Product of Diierential Forms Combining Hom-valued Forms
نویسنده
چکیده
This article deals with vector valued diierential forms on C 1-manifolds. As a generalization of the exterior product, we introduce an operator that combines Hom(N s (W); Z)-valued forms with Hom(N s (V); W)-valued forms. We discuss the main properties of this operator such as (multi)linearity, associa-tivity and its behavior under pullbacks, push-outs, exterior diierentiation of forms, etc. Finally we present applications for Lie groups and ber bundles.
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