VOLUME GROWTH OF 3-MANIFOLDS WITH SCALAR CURVATURE LOWER BOUNDS

Otis Chodosh; Chao Li; Douglas Stryker

doi:10.1090/proc/16521

VOLUME GROWTH OF 3-MANIFOLDS WITH SCALAR CURVATURE LOWER BOUNDS

Otis Chodosh, Chao Li, Douglas Stryker

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

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 μ-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].

Original language	English (US)
Pages (from-to)	4501-4511
Number of pages	11
Journal	Proceedings of the American Mathematical Society
Volume	151
Issue number	10
DOIs	https://doi.org/10.1090/proc/16521
State	Published - Oct 1 2023

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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abstract = "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 μ-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].",

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AU - Li, Chao

AU - Stryker, Douglas

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N2 - 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 μ-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].

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VOLUME GROWTH OF 3-MANIFOLDS WITH SCALAR CURVATURE LOWER BOUNDS

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