Notions of affinity in calculus of variations with differential forms

Bandyopadhyay, Saugata ; Sil, Swarnendu

In: Advances in Calculus of Variations, 2016, vol. 9, no. 3, p. 293-304

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    Summary
    Ext-int. one affine functions are functions affine in the direction of one-divisible exterior forms with respect to the exterior product in one variable and with respect to the interior product in the other. The purpose of this article is to prove a characterization theorem for this class of functions, which plays an important role in the calculus of variations for differential forms.