论文标题
定义$ c^0 $指标与RICCI Flow的正规化定义较低的标量曲率界限
Defining Pointwise Lower Scalar Curvature Bounds for $C^0$ Metrics with Regularization by Ricci Flow
论文作者
论文摘要
我们调查了一些使用RICCI流量的最新工作，以创建一类局部定义的弱下标度曲率界限，这些定义为$ C^0 $度量。我们讨论了这些定义的几个属性，并将这种方法的某些应用解释为有关指标均匀收敛的标量曲率的均匀收敛。最后，我们考虑了这种方法与较低标态曲率界限的其他一些广义概念之间的关系。
We survey some recent work using Ricci flow to create a class of local definitions of weak lower scalar curvature bounds that is well defined for $C^0$ metrics. We discuss several properties of these definitions and explain some applications of this approach to questions regarding uniform convergence of metrics with scalar curvature bounded below. Finally, we consider the relationship between this approach and some other generalized notions of lower scalar curvature bounds.
