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报告题目: Blow up sets of Ricci curvatures of complete conformal metrics
报 告 人: 沈伟明 副教授
报告人所在单位: 首都师范大学
报告日期: 2022-12-02
报告时间: 10:00-11:00
报告地点: 腾讯会议:627-762-061
   
报告摘要:

A version of the singular Yamabe problem in bounded domains yields complete conformal metricswith negative constant scalar curvatures. In this talk, we will talk about blow-up phenomena of Ricci curvatures of these metrics on domains whose boundary is close to certain limit set of a lower dimension. We will characterize the blow-up set according to theYamabe invariant of the underlying manifold. In particular, we will prove that all points in the lower dimension part of the limit set belong to the blow-up set on manifolds not conformally equivalent to the standard sphere and that all but one point in the lower dimension part of the limit set belong to the blow-up set on manifolds conformally equivalent to the standard sphere. We will demonstrate by examples that these results are optimal.

学术海报.pdf

   
本年度学院报告总序号: 691

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