GLobal C1,α Nash-Kuiper theorems

任课教师 Speaker:曹文涛
时间 Time: 每周一、周三15:20-16:55,2019-11-25 ~ 12-4
地点 Venue:清华大学近春园西楼第一会议室

课程描述 Description

I will first take about 45 minutes to talk about the background of isometric embedding and outline of my 6-hour talks about our work on global   Nash-Kuiper theorems and Monge-Ampere equation.
Then I will take the rest time to give the presentation about the celebrated Nash-Kuiper theorem and its proof.

预备知识 Prerequisites

Basic theory about Rieman manifold, PDE, and functional analysis

参考资料 References

[1] N.H. Kuiper. On C^1 isometric embeddings. I, II. Nederl. Akad. Wetensch. Proc. Ser. A. 58= Indag. Math. 17: 545-556, 683-689, 1955;
[2] J. Nash. C^1 isometric embeddings. Ann. of Math. (2), 60: 383-396, 1954;
[3] L. Szekelyhiidi, From isometric embedding to turbulence, HCDTE lecture notes. Part II. Nonlinear hyperbolic PDEs, dispersive and transport equations / G. Alberti.. (eds.) Springfield : AIMS, 2013. - P. 195 - 255.