Ricci flow and a sphere theorem for-pinched Yamabe metrics

被引：0

作者：

Chen, Eric ^{[1
,2
]}

Wei, Guofang ^{[1
]}

Ye, Rugang ^{[1
]}

机构：

[1] Univ Calif Santa Barbara, Santa Barbara, CA 93106 USA

[2] Univ Calif Berkeley, Berkeley, CA 94720 USA

来源：

ADVANCES IN MATHEMATICS | 2021年 / 393卷

基金：

美国国家科学基金会;

关键词：

Ricci flow; Sphere theorem; Integral curvature; Curvature pinching; Yamabe metrics; CURVATURE; DEFORMATION; MANIFOLDS;

D O I：

10.1016/j.aim.2021.108054

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We obtain a differential sphere and Ricci flow convergence theorem for positive scalar curvature Yamabe metrics with L-n/2-pinched curvature in general dimensions n. Previously, E. Hebey and M. Vaugon obtained in [9] a corresponding result for L-p-pinching with p > n/2. (c) 2021 The Authors. Published by Elsevier Inc. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).

引用

页数：14

共 20 条

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