The Pullback Equation for Differential Forms
Csató, Gyula / Kneuss, Olivier / Dacorogna, Bernard![The Pullback Equation for Differential Forms](https://support.digitalhusky.com/media/annotations/sorted/118/11835939/CHSBZCOP0311835939.jpg)
An important question in geometry and analysis is to know when two k-forms f and g are equivalent through a change of variables. The problem is therefore to find a map φ so that it satisfies the pullback equation: φ*(g) = f. In more physical terms, the question under consideration can be seen as a problem of mass transportation. The problem has received considerable attention in the cases k = 2 and k = n, but much less when 3 ≤ k ≤ n–1. The pr...