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报告题目: Isometric embedding and quasi-local mass
报 告 人: 陆思远
报告人所在单位: McMaster University, Assistant Professor
报告日期: 2022-01-14
报告时间: 9:20-10:00
报告地点: 复旦大学光华楼东主楼2201室、腾讯会议755107231
   
报告摘要:

In this talk, we will first review the classic result of isometric embedding of (S^2,g) into 3-dimensional Euclidean space by Nirenberg and Pogorelov. We will then discuss how to apply it to define quasi-local mass in general relativity. In particular, the positivity of Brown-York quasi-local mass proved by Shi-Tam is equivalent to the Riemannian Positive mass theorem by Schoen-Yau and Witten.

We will then discuss recent progresses in isometric embedding of (S^2,g) into general Riemannian manifold. We will also discuss recent works on a localized Riemannian Penrose inequality, which is equivalent to the Riemannian Penrose inequality.

This is based on joint works with P. Guan and P. Miao. 

1.14.pdf

   
本年度学院报告总序号: 386

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