Notions of affinity in calculus of variations with differential forms
Functional Analysis
2025-04-02 v1
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.
Keywords
Cite
@article{arxiv.1712.04866,
title = {Notions of affinity in calculus of variations with differential forms},
author = {Saugata Bandyopadhyay and Swarnendu Sil},
journal= {arXiv preprint arXiv:1712.04866},
year = {2025}
}