paper

Hamiltonian structure of the complex Monge-Ampère equation

arXiv:0801.2663

Abstract

We discover Hamiltonian structure of the complex Monge-Amp`ere equation when written in a first order two-component form. We present Lagrangian and Hamiltonian functions, a symplectic form and the Hamiltonian operator that determines the Poisson bracket.

5 pages. Misprints in the formula (3.6) are corrected

Hamiltonian structure of the complex Monge-Ampère equation · wovepaper