The Pullback Equation for Differential Forms

• Main Authors: Csató, Gyula (Author), Dacorogna, Bernard (Author), Kneuss, Olivier (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Boston : Birkhäuser Boston, 2012.
• Series: Progress in Nonlinear Differential Equations and Their Applications ; 83
• Subjects: Mathematics.; Matrix theory.; Algebra.; Differential equations.; Partial differential equations.; Differential geometry.; Partial Differential Equations.; Linear and Multilinear Algebras, Matrix Theory.; Differential Geometry.; Ordinary Differential Equations.

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...