Loading...
research article
The second order pullback equation
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.
Loading...
Name
526_2012_Article_593.pdf
Type
Publisher's version
Access type
openaccess
Size
305.66 KB
Format
Adobe PDF
Checksum (MD5)
7b0816cc733690be77b62d23513c5a52