Fédération de Recherche Mathématiques des Pays de Loire
FR CNRS 2962
In  a thorough exposition of the geometrical approach to the Monge-Ampere equations (MAE) was presented. Nevertheless, the approach was confined with the contact geometry of MAE only and did not deal with the geometry of infinite prolongations of these equations in the sense of . Due to this, algebraic and geometric invariants such as higher symmetries and conservation laws, recursion operators, Hamiltonian structures, etc. were not considered at all. We plan to make first steps to fill this gap and study geometrical structures of MAE as submanifolds in the space of infinite jets.