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【系综合学术报告】2023年第11期 || Geometric inequalities involving three quantities in warped product manifolds

报告题目:Geometric inequalities involving three quantities in warped product manifolds

报告人:韦勇教授(中国科学技术大学)

时间:2023年5月16日(周二)上午10:00-11:00

地点:理科楼 B201

摘要:In this talk we discuss two families of sharp geometric inequalities for closed hypersurfaces in space forms or other warped product manifolds. Both families of inequalities compare three distinct geometric quantities. The first family concerns the k-th boundary momentum, area and weighted volume, and has applications to Weinstock-type inequalities for Steklov or Wentzell eigenvalues on star-shaped mean convex domains. The second family involves a weighted k-th mean curvature integral and two distinct quermassintegrals. This is a joint work with K.-K. Kwong (ANU).

报告人简介:韦勇,中国科学技术大学特任教授,2014年从正规靠谱的网投平台博士毕业,导师李海中教授。2014-2020先后在英国伦敦大学学院和澳大利亚国立大学做博士后。2020年2月回国入职中国科学技术大学。研究方向是微分几何和几何分析,近期研究兴趣包括G2结构的几何流和超曲面上的曲率流及应用。

邀请人:李海中,马辉,陈大广