中科院数学与系统科学研究院
数学研究所
学术报告
偏微分方程研讨班
报告人： 夏超 教授（厦门大学）
题 目：CMC hypersurfaces in warped products: rigidity and quantitative stability
时 间：2022.04.12（星期二）14:00-15:00
地 点：腾讯会议：941-268-643
摘 要：Brendle proved Alexandrov’s theorem that classified closed embedded constant mean curvature (CMC) hypersurfaces in certain warped products. In joint works with Guohuan Qiu and Junfang Li, among others, we established Reilly type integral formula to reprove Brendle’s result. In this talk, we introduce a recent joint work with Julian Scheuer, to establish quantitative stability for closed embedded almost CMC hypersurfaces in warped products, which is based on Li-Xia’s new proof of Brendle’s result and Scheuer’s rigidity-to-stability criteria.
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