I: Lie symmetries of partial differential equations and CR geometry
arXiv:math/0703130
Abstract
A general theory of rigid completely integrable analytic partial differential equations is endeavoured. The tube over the light cone in C^3 is shown to be the unique model (up to biholomorphisms) having CR automorphism group of maximal dimension equal to 10. Explicit formulas for the Lie prolongation of vector fields to jets spaces are derived.
118 pages, 4 figures