学术报告

The Analysis and Geometry of Isometric Embedding

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题目:The Analysis and Geometry of Isometric Embedding 
报告人:徐国义 副教授 (清华大学 数学科学系)
地点:致远楼108室
时间:2019年6月19日下午 3:00-4:00
Abstract: In 1950’s, Nash-Kuiper built up the C^1 isometric embedding for any surface into $\mathbb{R}^3$, this can be viewed as analysis side of isometric embedding. On the other hand, there is obstruction for the existence of $C^2$ isometric embedding of surface into $\mathbb{R}^3$ known since Hilbert, which reflects the geometry flavor of isometric embedding. What’s happening from $C^1$ to $C^2$ (from analysis to geometry)? We will present our partial progress along this direction. The talk will be accessible to audience with basic knowledge of analysis and differential geometry.

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