论文标题
三维RICCI流的紧凑型古代解决方案的独特性
Uniqueness of compact ancient solutions to three-dimensional Ricci flow
论文作者
论文摘要
在本文中，我们研究了$κ$ noncollapsed的$κ$ noncollaps的分类，以$ s^3 $上的三维RICCI流量。我们证明，这样的解决方案要么是一个缩小的圆形球体的等级，要么是由Perelman构建的II型古代解决方案。
In this paper, we study the classification of $κ$-noncollapsed ancient solutions to three-dimensional Ricci flow on $S^3$. We prove that such a solution is either isometric to a family of shrinking round spheres, or the Type II ancient solution constructed by Perelman.
