论文标题
$ \ mathbb {f} $ - RICCI流动的收敛性，封闭和光滑的切线流量
The rate of $\mathbb{F}$-convergence for Ricci flows with closed and smooth tangent flows
论文作者
论文摘要
本文是[CMZ21B]的延续，我们证明了带有封闭和光滑的切线流的RICCI流具有独特的切线流，并且其相应的向前或向后修改的RICCI流量以$ t^{ - β} $的速率收敛于某些$β> 0 $。 In this article, we calculate the corresponding $\mathbb{F}$-convergence rate: after being scaled by a factor $λ>0$, a Ricci flow with closed and smooth tangent flow is $|\log λ|^{-θ}$ close to its tangent flow in the $\mathbb{F}$-sense, where $θ$ is a positive number, $λ\gg 1$ in the爆炸案件和$λ\ ll 1 $在吹箱中。
This article is a continuation of [CMZ21b], where we proved that a Ricci flow with a closed and smooth tangent flow has unique tangent flow, and its corresponding forward or backward modified Ricci flow converges in the rate of $t^{-β}$ for some $β>0$. In this article, we calculate the corresponding $\mathbb{F}$-convergence rate: after being scaled by a factor $λ>0$, a Ricci flow with closed and smooth tangent flow is $|\log λ|^{-θ}$ close to its tangent flow in the $\mathbb{F}$-sense, where $θ$ is a positive number, $λ\gg 1$ in the blow-up case, and $λ\ll 1$ in the blow-down case.
