The stability of Llarull's theorem
演讲者
时间
2024年11月19日 15:00 至 16:00
地点
A7-101
线上
Zoom 638 227 8222
(BIMSA)
摘要
Llarull's theorem characterizes the round n-sphere among all spin manifolds whose scalar curvature is bounded from below by n(n-1). We show that if scalar curvature nearly meets this lower bound, n(n-1), then the metric is C^0-close to the round metric outside a small set. This result provides the first instance of a scalar curvature stability theorem that applies in all dimensions, without requiring additional geometric or topological conditions. It is a joint work with Sven Hirsch.
演讲者介绍
我的研究方向是几何分析和广义相对论，目前主要研究标量曲率和广义相对论中的几何问题。我应用偏微分方程，特别是椭圆方程，来研究几何问题。