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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Recent Developments in Constant Mean Curvature Hypersurfaces
恒定 平均曲率 超曲面
2023/4/13
We will survey some recent existence theory of closed constant mean curvature hypersurfaces using the min-max method. We hope to discuss some old and new open problems on this topic as well.
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Heintze Karcher type inequalities on capillary hypersurfaces in hyperbolic space
双曲空间 毛细管超表面 海因茨·卡彻型不等式
2023/4/23
In this talk, I will introduce our recent result on Heintze Karcher type inequalities for capillary hypersurfaces supported on different types of umbilical hypersurfaces in hyperbolic space. I will in...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Generic Regularity for All Minimal Hypersurfaces in 8-Manifolds
8流形 最小超曲面 通用规则性
2023/5/5
The well-known Simons cone suggests that singularities may exist in a stable minimal hypersurface in Riemannian manifolds of dimension greater than 7, locally modeled on stable minimal hypercones. It ...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Volume preserving Gauss curvature flow of convex hypersurfaces in the hyperbolic space
双曲空间 凸超曲面 保体积 高斯曲率流
2023/5/15
In this talk, we discuss Y. Wei, B. Yang and T. Zhou’s preprint arXiv:2210.06035, in which they consider volume preserving curvature flows of smooth, closed and convex hypersurfaces in hyperbolic spac...