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Uniqueness Results on a geometric PDE in Riemannian and CR Geometry Revisited

来源: 发布时间: 2021-08-18 点击量:
  • 讲座人: Xiaodong Wang
  • 讲座日期: 2021-08-23
  • 讲座时间: 10:00
  • 地点: ZoomID:5703685183 密码:123456

讲座内容简介:

We revisit some uniqueness results for a geometric nonlinear PDE related to the scalar curvature in Riemannian geometry and CR geometry. In the Riemannian case we give a new proof of the uniqueness result assuming only a positive lower bound for Ricci curvature. We apply the same principle in the CR case and reconstruct the Jerison-Lee identity in a more general setting. As a consequence, we prove a stronger uniqueness result in the CR case. We also discuss some open problems for further study.

讲座人简介:

Xiaodong Wang 教授,美国密歇根州立大学(Michigan State University)终身教授,研究方向为几何分析和偏微分方程。在Invent. Math., Duke Math. J., Comm. Pure Appl. Math., Appl. Math., Adv. Math. 等期刊发表30余篇学术论文。


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