学科报告

Blow-down analysis on steady gradient Ricci solitons

发布人:发布时间: 2023-11-17

字体大小: 【小】 【中】 【大】

题目:Blow-down analysis on steady  gradient Ricci solitons

报告人:朱小华 教授(北京大学)

时间:2023年11月24日 9:30-10:30

地点:蒙民伟楼1105室

摘要:We will talk about the blow-down solutions for $\kappa$-noncollapsed steady gradient Ricci solitons $(M, g)$ with positive curvature  away from a compact set of $M$.As an application,we prove: any $4$d noncompact $\kappa$-noncollapsed  steady  gradient Ricci soliton  with  nonnegative sectional curvature must be the Bryant Ricci soliton up to scaling if it admits  a sequence of rescaled flows of $(M, g)$, which converges subsequently to a splitting limit flow $ \bar g(t)= h(t) +ds^2$ on $N\times \mathbb R$ with a compact manifold $N$.

邀请人:陈学长 老师