Vector-valued differential form: Difference between revisions

Revision as of 01:47, 15 December 2014

Revision as of 01:48, 15 December 2014

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In [[mathematics]], a '''vector-valued differential form''' on a [[manifold]] ''M'' is a [[differential form]] on ''M'' with values in a [[vector space]] ''V''. More generally, it is a differential form with values in some [[vector bundle]] ''E'' over ''M''. Ordinary differential forms can be viewed as '''R'''-valued differential forms. Vector-valued forms are natural objects in [[differential geometry]] and have numerous applications.

==Formal definition==