永利核心数学研究所——几何与分析综合报告第64讲 扭积中的CMC超曲面:刚性和数量稳定性

创建时间:  2024/01/17  龚惠英   浏览次数:   返回

报告题目 (Title):CMC hypersurfaces in warped products: rigidity and quantitative stability

中文标题:扭积中的CMC超曲面:刚性和数量稳定性

报告人 (Speaker):夏超(厦门大学)

报告时间 (Time):2024年1月17日(周三) 14:00-15:00

报告地点 (Place):校本部GJ303

邀请人(Inviter):席东盟、李晋、张德凯、吴加勇

主办部门:永利数学系

报告摘要: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.

上一条:永利核心数学研究所——几何与分析综合报告第65讲 非对称度量空间中的绝对连续曲线和梯度流

下一条:永利核心数学研究所——几何与分析综合报告第63讲 对偶泛函及其相关变分问题


永利核心数学研究所——几何与分析综合报告第64讲 扭积中的CMC超曲面:刚性和数量稳定性

创建时间:  2024/01/17  龚惠英   浏览次数:   返回

报告题目 (Title):CMC hypersurfaces in warped products: rigidity and quantitative stability

中文标题:扭积中的CMC超曲面:刚性和数量稳定性

报告人 (Speaker):夏超(厦门大学)

报告时间 (Time):2024年1月17日(周三) 14:00-15:00

报告地点 (Place):校本部GJ303

邀请人(Inviter):席东盟、李晋、张德凯、吴加勇

主办部门:永利数学系

报告摘要: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.

上一条:永利核心数学研究所——几何与分析综合报告第65讲 非对称度量空间中的绝对连续曲线和梯度流

下一条:永利核心数学研究所——几何与分析综合报告第63讲 对偶泛函及其相关变分问题

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