Lower bounds for the scalar curvatures of noncompact gradient Ricci solitons

被引：45

作者：

Chow, Bennett ^{[1
]}

Lu, Peng ^{[2
]}

Yang, Bo ^{[1
]}

机构：

[1] Univ Calif San Diego, Dept Math, La Jolla, CA 92093 USA

[2] Univ Oregon, Dept Math, Eugene, OR 97403 USA

来源：

COMPTES RENDUS MATHEMATIQUE | 2011年 / 349卷 / 23-24期

关键词：

SHRINKING; UNIQUENESS;

D O I：

10.1016/j.crma.2011.11.004

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that recent work of Ni and Wilking (in preparation) [11] yields the result that a noncompact nonflat Ricci shrinker has at most quadratic scalar curvature decay. The examples of noncompact Kahler-Ricci shrinkers by Feldman, Ilmanen, and Knopf (2003) [7] exhibit that this result is sharp. We also prove a similar result for certain noncompact steady gradient Ricci solitons. 2011 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.

引用

页码：1265 / 1267

页数：3

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