Meta-Symplectic Geometry of 3<sup>rd</sup>Order Monge-Ampère Equations and their Characteristics
Meta-Symplectic Geometry of 3<sup>rd</sup>Order Monge-Ampère Equations and their Characteristics
This paper is a natural companion of [Alekseevsky D.V., Alonso Blanco R., Manno G., Pugliese F., Ann. Inst. Fourier (Grenoble) 62 (2012), 497-524, arXiv:1003.5177], generalising its perspectives and results to the context of third-order (2D) Monge-Amp\`ere equations, by using the so-called "meta-symplectic structure" associated with the 8D prolongation $M^{(1)}$ of …