拉格朗日格拉斯曼流形的几何与非线性偏微分方程
微分几何
2019-02-26 v3
摘要
本文包含对线性辛空间的拉格朗日子空间流形（称为拉格朗日格拉斯曼流形）基本几何性质的详尽介绍。同时综述了拉格朗日格拉斯曼流形中的超曲面与二阶偏微分方程之间的重要关系。
关键词
引用
@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}
}
备注
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