Volume growth of 3-manifolds with scalar curvature lower bounds-Reference-Cited by-同舟云学术

Volume growth of 3-manifolds with scalar curvature lower bounds

Published:2023-07-14 Issue:10 Volume:151 Page:4501-4511
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Chodosh Otis,Li Chao,Stryker Douglas

Abstract

We give a new proof of a recent result of Munteanu–Wang relating scalar curvature to volume growth on a 3 3 -manifold with non-negative Ricci curvature. Our proof relies on the theory of μ \mu -bubbles introduced by Gromov [Geom. Funct. Anal. 28 (2018), pp. 645–726] as well as the almost splitting theorem due to Cheeger–Colding [Ann. of Math. (2) 144 (1996), pp. 189–237].

Funder

Alfred P. Sloan Foundation

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

https://www.ams.org/proc/2023-151-10/S0002-9939-2023-16521-1/proc16521_AM.pdf

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4. [CL20] Otis Chodosh and Chao Li, Generalized soap bubbles and the topology of manifolds with positive scalar curvature, arXiv:2008.11888, 2020.

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