金沙威尼斯欢乐娱人城核心数学研究所——几何与分析综合报告第85讲 体积型的闵可夫斯基不等式及其应用

创建时间:  2024/06/17  龚惠英   浏览次数:   返回

报告题目 (Title): A volumetric Minkowski inequality and applications (体积型的闵可夫斯基不等式及其应用)

报告人 (Speaker):王嘉平 教授 (明尼苏达大学)

报告时间 (Time):2024年6月17日(周一)10:00

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:金沙威尼斯欢乐娱人城数学系

报告摘要:

The classical Minkowski inequality states that the boundary surface area of a compact convex domain in the Euclidean space is bounded from above by an integral of its mean curvature with equality if and only if the domain is a ball. Together with the isoperimetric inequality, it implies that the volume of such a domain is so bounded as well. In this talk, we discuss a generalization of the latter inequality to complete manifolds and some of its applications. This is a joint work with Ovidiu Munteanu.

上一条:数学学科Seminar第2672讲 使用 MATLAB进行数据分析与AI应用开发

下一条:数学学科Seminar第2671讲 Andrews-Beck 分拆统计量和Appell-Lerch级数


金沙威尼斯欢乐娱人城核心数学研究所——几何与分析综合报告第85讲 体积型的闵可夫斯基不等式及其应用

创建时间:  2024/06/17  龚惠英   浏览次数:   返回

报告题目 (Title): A volumetric Minkowski inequality and applications (体积型的闵可夫斯基不等式及其应用)

报告人 (Speaker):王嘉平 教授 (明尼苏达大学)

报告时间 (Time):2024年6月17日(周一)10:00

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:金沙威尼斯欢乐娱人城数学系

报告摘要:

The classical Minkowski inequality states that the boundary surface area of a compact convex domain in the Euclidean space is bounded from above by an integral of its mean curvature with equality if and only if the domain is a ball. Together with the isoperimetric inequality, it implies that the volume of such a domain is so bounded as well. In this talk, we discuss a generalization of the latter inequality to complete manifolds and some of its applications. This is a joint work with Ovidiu Munteanu.

上一条:数学学科Seminar第2672讲 使用 MATLAB进行数据分析与AI应用开发

下一条:数学学科Seminar第2671讲 Andrews-Beck 分拆统计量和Appell-Lerch级数