Smoothing Riemannian metrics with bounded Ricci curvatures in dimension four, II

被引：0

作者：

Ye Li

机构：

[1] Duke University,Department of Mathematics

来源：

Annals of Global Analysis and Geometry | 2012年 / 41卷

关键词：

Ricci flow; Short-time existence; Smoothing Riemannian metrics in dimension four; 53c44;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

This note is a continuation of the author’s paper (Li, Adv. Math. 223(6):1924–1957, 2010). We prove that if the metric g of a compact 4-manifold has bounded Ricci curvature and its curvature has no local concentration everywhere, then it can be smoothed to a metric with bounded sectional curvature. Here we don’t assume the bound for local Sobolev constant of g and hence this smoothing result can be applied to the collapsing case.

引用

页码：407 / 421

页数：14

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