Systems Of Linear Partial Differential Equations And Deformation Of Pseudogroup Structures
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Systems of Linear Partial Differential Equations and Deformation of Pseudogroup Structures
Author | : Antonio Kumpera |
Publisher | : Presses de l'Université de Montréal |
Total Pages | : 108 |
Release | : 1974 |
Genre | : Differential equations, Linear |
ISBN | : |
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The main goal of these notes is the description of a non-linear complex into which the integrability (or compatibility) condition is inserted as a non-linear operator in such a way that exactness implies the integrability of the almost-structure (existence of local coordinates for the structure) or, by the introduction of parameters, the existence of a (germ of) deformation of the structure. To the non-linear complex are attached some fundamental identities and a structure equation. The non-linear complex is a finite form of the initial portion of a linear complex which is a differential graded Lie algebra. The operators in the non-linear and linear complexes are of first order.
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