论文标题

瞬时曲率边界的RICCI流下的产品结构保存

Preservation of product structures under the Ricci flow with instantaneous curvature bounds

论文作者

Cook, Mary

论文摘要

在本说明中,我们证明存在一个常数$ε> 0 $,仅取决于尺寸,以便在时间$ t = 0 $时对RICCI流量的完整解决方案分配为产品,并且具有$ \fracε{t} $界定的曲率,则该解决方案始终是所有时间分配的。

In this note, we prove that there exists a constant $ε>0$, depending only on the dimension, such that if a complete solution to the Ricci flow splits as a product at time $t=0$ and has curvature bounded by $\fracε{t}$, then the solution splits for all time.

扫码加入交流群

加入微信交流群

微信交流群二维码

扫码加入学术交流群,获取更多资源