论文标题
通过单数Ricci流以非负RICCI曲率产生3D RICCI流动
Producing 3d Ricci flows with non-negative Ricci curvature via singular Ricci flows
论文作者
论文摘要
我们将克莱纳(Kleiner)和洛特(Lott)从3D紧凑型歧管扩展到3D完整的歧管,并将曲率无限的曲率扩展到3D完整的歧管。作为广义单数RICI流的应用,我们表明,对于任何3D完整的Riemannian歧管,具有非负RICCI曲率,都存在从其开始的平滑RICCI流动。
We extend the concept of singular Ricci flow by Kleiner and Lott from 3d compact manifolds to 3d complete manifolds with possibly unbounded curvature. As an application of the generalized singular Ricci flow, we show that for any 3d complete Riemannian manifold with non-negative Ricci curvature, there exists a smooth Ricci flow starting from it.