论文标题
RICCI流平滑，用于局部崩溃的歧管
Ricci flow smoothing for locally collapsing manifolds
论文作者
论文摘要
我们表明，对于某些局部折叠的初始数据，下面的RICCI曲率曲率可以启动RICCI流量确定的时间。这提供了RICCI流平滑工具，我们通过该工具找到了拓扑条件，可检测在受控的Riemannian Orbifolds上，在局部崩溃的区域中，下面有RICCI曲率的那些本地崩溃的区域中。在附录中，我们还为某些RICCI流动的局部距离失真估计值崩溃了。
We show that for certain locally collapsing initial data with Ricci curvature bounded below, one could start the Ricci flow for a definite period of time. This provides a Ricci flow smoothing tool, with which we find topological conditions that detect the collapsing infranil fiber bundles over controlled Riemannian orbifolds among those locally collapsing regions with Ricci curvature bounded below. In the appendix, we also provide a local distance distortion estimate for certain Ricci flows with collapsing initial data.
