VOLUME GROWTH OF 3-MANIFOLDS WITH SCALAR CURVATURE LOWER BOUNDS

被引：1
|
作者：
Chodosh, Otis [1 ]
Li, Chao [2 ]
Stryker, Douglas [3 ]
机构：
[1] Stanford Univ, Dept Math, Bldg 380, Stanford, CA 94305 USA
[2] NYU, Courant Inst, 251 Mercer St, New York, NY 10012 USA
[3] Princeton Univ, Dept Math, Fine Hall,304 Washington Rd, Princeton, NJ 08540 USA
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2023年 / 151卷 / 10期
基金：
美国国家科学基金会;
关键词：
RICCI CURVATURE; MANIFOLDS; RIGIDITY;
D O I：
10.1090/proc/16521
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We give a new proof of a recent result of Munteanu-Wang relating scalar curvature to volume growth on a 3-manifold with non-negative Ricci curvature. Our proof relies on the theory of & mu;-bubbles introduced by Gromov [Geom. Funct. Anal. 28 specialIntscript pp. 645-726] as well as the almost splitting theorem due to Cheeger-Colding [Ann. of Math. specialIntscript 144 specialIntscript pp. 189-237].
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页码：4501 / 4511
页数：11
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