其他报告
Blow-down analysis on steady gradient Ricci solitons
发布人:发布时间: 2023-11-17
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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