Exterior differential systems: a geometric approach to PDE. Lecture notes from the 1997 Daewoo workshop
dg-ga
2008-02-03 v1 alg-geom
代数几何
微分几何
摘要
This is an elementary introduction to exterior differential systems motivated by two examples: minimal submanifolds and the isometric embedding problem. The two main goals of the lectures are: 1. To explain how to find an appropriate geometric setting for studying a given system of pde. 2. To explain the Cartan algorithm to determine the moduli space of local solutions to any given exterior differential system and an appropriate initial value problem for the system.
引用
@article{arxiv.dg-ga/9708005,
title = {Exterior differential systems: a geometric approach to PDE. Lecture notes from the 1997 Daewoo workshop},
author = {J. M. Landsberg},
journal= {arXiv preprint arXiv:dg-ga/9708005},
year = {2008}
}
备注
18 pages, amstex