Smoothing Riemannian metrics with bounded Ricci curvatures in dimension four

被引：8

作者：

Li, Ye ^{[1
]}

机构：

[1] Cornell Univ, Dept Math, Ithaca, NY 14853 USA

来源：

ADVANCES IN MATHEMATICS | 2010年 / 223卷 / 06期

关键词：

Local Ricci flow; UNIFORMLY ELLIPTIC-OPERATORS; EINSTEIN MANIFOLDS; CONVERGENCE;

D O I：

10.1016/j.aim.2009.10.014

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We obtain it local smoothing result for Riemannian manifolds with bounded Ricci curvatures in dimension four. More precisely, given a Riemannian metric with bounded Ricci curvatures and small L(2)-norm of curvatures on a metric ball, we can find a smooth metric with bounded curvature which is C(1,alpha)-close to the original metric on a smaller ball but still of definite size. (c) 2009 Elsevier Inc. All rights reserved.

引用

页码：1924 / 1957

页数：34

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