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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Volume growth of 3-manifolds with scalar curvature lower bounds
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by Otis Chodosh, Chao Li and Douglas Stryker;
Proc. Amer. Math. Soc. 151 (2023), 4501-4511
DOI: https://doi.org/10.1090/proc/16521
Published electronically: July 14, 2023
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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 $\mu$-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].
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Bibliographic Information
  • Otis Chodosh
  • Affiliation: Department of Mathematics, Stanford University, Building 380, Stanford, California 94305
  • MR Author ID: 973224
  • ORCID: 0000-0002-6124-7889
  • Email: ochodosh@stanford.edu
  • Chao Li
  • Affiliation: Courant Institute, New York University, 251 Mercer St, New York, New York 10012
  • ORCID: 0000-0003-2735-9139
  • Email: chaoli@nyu.edu
  • Douglas Stryker
  • Affiliation: Department of Mathematics, Princeton University, Fine Hall, 304 Washington Road, Princeton, New Jersey 08540
  • MR Author ID: 1376205
  • Email: dstryker@princeton.edu
  • Received by editor(s): July 27, 2022
  • Published electronically: July 14, 2023
  • Additional Notes: The first author was supported by a Terman Fellowship and a Sloan Fellowship. The second author was supported by an NSF grant (DMS-2202343). The third author was supported by an NDSEG Fellowship.
  • Communicated by: Jiaping Wang
  • © Copyright 2023 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 151 (2023), 4501-4511
  • MSC (2020): Primary 53C21, 53C42
  • DOI: https://doi.org/10.1090/proc/16521
  • MathSciNet review: 4643334