Publication

The second order pullback equation

Bernard Dacorogna, Olivier Kneuss, Gyula Csató
2014
Journal Articles

Abstract

Let f, g be two closed k-forms over R-n. The pullback equation studies the existence of a diffeomorphism phi : R-n -> R-n such that phi*(g) = f. We prove two types of results. The first one sharpens some of the existing regularity results. The second one discusses the possibility of choosing the map phi as the gradient of a function Phi : R-n -> R. We show that this is a very rare event unless the two forms are constant.

Official source

https://infoscience.epfl.ch/entities/publication/4f1755d5-c61c-4dce-9197-da2a750c38ba

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The second order pullback equation

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