Application of equivalence method to Monge-Amp\`ere equations: Elliptic case
Abstract
The application of equivalence method to classify Monge-Amp\`ere system leads to three orbits, parabolic case, hyperbolic case and elliptic case wich correspond to three types of Monge-Amp\`ere systems. In this paper we will study the elliptic case and give a presentation of the group as a complex group.
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