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BIMSA 广义相对论讨论班
BIMSA 广义相对论讨论班
Scalar-curvature rigidity of small spherical caps with arbitrary fillings
Scalar-curvature rigidity of small spherical caps with arbitrary fillings
演讲者
时间
2026年11月10日 16:30 至 17:30
地点
A3-3-301
线上
Zoom 712 322 9571
(BIMSA)
摘要
We prove an analogue of Min-Oo's conjecture for sufficiently small spherical caps. For every dimension $n\ge3$, there is a radius $r_*(n)>0$ such that a smooth compact connected oriented Riemannian fill-in with the same intrinsic boundary metric as a round cap of radius $0 < r < r_*(n)$ in the unit sphere, and with scalar curvature and outward boundary mean curvature at least those of the cap, is isometric to that cap. This is joint work with Yiyue Zhang.
演讲者介绍
赵博文博士于2020年12月获得耶鲁大学博士学位,随后加入北京雁栖湖应用数学研究院(BIMSA)在丘成桐教授指导下从事博士后研究,并于2025年起任助理教授。她的研究方向聚焦于广义相对论与数学物理领域,致力于探索时空几何、引力理论及相关数学结构的深层联系。