I: Lie symmetries of partial differential equations and CR geometry
Complex Variables
2007-05-23 v1 Differential Geometry
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.
Cite
@article{arxiv.math/0703130,
title = {I: Lie symmetries of partial differential equations and CR geometry},
author = {Joel Merker},
journal= {arXiv preprint arXiv:math/0703130},
year = {2007}
}
Comments
118 pages, 4 figures