凸积分与曲线的勒让德逼近
微分几何
2017-03-29 v2 经典分析与常微分方程
摘要
利用凸积分，我们给出如下著名事实的构造性证明：接触 -流形中的每条连续曲线均可由一条勒让德曲线逼近。
引用
@article{arxiv.1507.07661,
title = {Convex Integration and Legendrian Approximation of Curves},
author = {Norbert Hungerbühler and Thomas Mettler and Micha Wasem},
journal= {arXiv preprint arXiv:1507.07661},
year = {2017}
}
备注
Final Version, to appear in Journal of Convex Analysis, 9 pages, 1 figure