Real Monge-Ampère operators and (almost) complex structures

Abstract: We observe some interesting geometric structures which are naturally linked with the geometric approach to Monge-Ampère operators developed by Lychagin in late 70th.

Among them are: (almost) complex, (almost) product, generalized complex, hyperkahler, hypersymplectic and many other geometric structures.

I hope (if I have time) to show few interesting examples of its applications.

mathematical physicsanalysis of PDEsdifferential geometry

Audience: researchers in the topic

( slides | video )

Geometry of differential equations seminar