题目👨🏽‍⚕️：Isometric Immersions from Geometric and PDE Perspectives

报告人：李思然 副教授（上海交通大学）

时间🏊🏽：2021年11月29日（星期一） 13:30-14:30

地点：腾讯会议室

摘要：We report our recent work on a classical problem in geometric analysis: isometric immersions and/or embeddings of Riemannian and semi-Riemannian manifolds. The underlying PDE (partial differential equation) is the Gauss--Codazzi--Ricci equations. Existence of isometric immersions is studied under various curvature conditions, via elliptic and hyperbolic PDE techniques. Weak continuity of isometric immersions is investigated with the help of the theory of compensated compactness. Connections to other problems, including harmonic maps and  Coloumb gauges, will also be discussed.

Our talk contains joint works with Gui-Qiang Chen and Marshall Slemrod.

腾讯会议室 557985224 密码：202111

欢迎各位参加！