Geometry of Lagrangian Grassmannians and nonlinear PDEs

Autor:	Gutt, Jan, Manno, Gianni, Moreno, Giovanni
Rok vydání:	2018
Předmět:	Mathematics - Differential Geometry 32C15 35A30 35K96 53C30 53C55 53D05 53D10 58A20 58A30 58J70
Zdroj:	Banach Center Publications 117 (2019), 9-44
Druh dokumentu:	Working Paper
DOI:	10.4064/bc117-1
Popis:	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. Comment: 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
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1805.04294 Zobrazit plný text záznamu View this record from Arxiv