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arXiv · 1712.04866

Notions of affinity in calculus of variations with differential forms

Saugata Bandyopadhyay·Swarnendu Sil
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Abstract

Ext-int.\ one affine functions are functions affine in the direction of one-divisible exterior forms, with respect to exterior product in one variable and with respect to 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.

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Saugata Bandyopadhyay, Swarnendu Sil. 2017-12-13. Notions of affinity in calculus of variations with differential forms. https://doi.org/10.1515/acv-2015-0022

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