Geometry of Lagrangian Grassmannians and nonlinear PDEs
Differential Geometry
2019-02-26 v3
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.
Keywords
Cite
@article{arxiv.1805.04294,
title = {Geometry of Lagrangian Grassmannians and nonlinear PDEs},
author = {Jan Gutt and Gianni Manno and Giovanni Moreno},
journal= {arXiv preprint arXiv:1805.04294},
year = {2019}
}
Comments
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