Geometry of Lagrangian Grassmannians and nonlinear PDEs
arXiv:1805.04294 · doi:10.4064/bc117-1
Abstract
This paper contains a thorough introduction to the basic geometric properties of the manifold of Lagrangian subspaces of a linear symplectic space, known as the Lagrangian Grassmannian. It also reviews the important relationship between hypersurfaces in the Lagrangian Grassmannian and second-order PDEs.
28 pages. Designed as opening contribution to the poceeding volume of the workshop "Geometry of Lagrangian Grassmannians and nonlinear PDEs" held in Warsaw, September 5-9, 2016. Changes in v3: small typos, updated bibliography