The Pullback Equation for Differential Forms (Progress in Nonlinear Differential Equations and Their Applications, Vol. 83) by Gyula Csató, Bernard Dacorogna and Olivier Kneuss
English | ISBN: 0817683127 | 2012 | PDF | 447 pages | 2,8 MB
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.