论文标题
RICCI-DETURCK来自粗糙指标和应用
Ricci-Deturck flow from rough metrics and applications
论文作者
论文摘要
在Lamm和Simon最近的工作中，在这项工作中，我们研究了Ricci-deturck流动的短期存在理论，从Bi-Lipschitz的粗糙指标开始，并且具有局部规模较小的不变梯度浓度。作为应用，我们使用它来研究与标量曲率有关的几个稳定问题。
Motivated by the recent work of Lamm and Simon, in this work we study the short-time existence theory of Ricci-Deturck flow starting from rough metrics which are bi-Lipschitz and have small local scaling invariant gradient concentration. As applications, we use it to study several stability problems related to the scalar curvature.
