Jets Derivations And Deformation Of Pseudogroup Structures

Jets, Derivations, and Deformation of Pseudogroup Structures

Systems of Linear Partial Differential Equations and Deformation of Pseudogroup Structures

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.

Dissertation Abstracts International