I: Lie symmetries of partial differential equations and CR geometry

Details I: Lie symmetries of partial differential equations and CR geometry I: Lie symmetries of partial differential equations and CR geometry

2007-03-05

arxiv.org/abs/math/0703130v1

Mathematics

Complex Variables

118 pages, 4 figures

Scientific paper

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.

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