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Mathematics > Differential Geometry

arXiv:2207.13806 (math)
[Submitted on 27 Jul 2022]

Title:Volume growth of 3-manifolds with scalar curvature lower bounds

Authors:Otis Chodosh, Chao Li, Douglas Stryker
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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 as well as the almost splitting theorem due to Cheeger--Colding.
Subjects: Differential Geometry (math.DG)
Cite as: arXiv:2207.13806 [math.DG]
  (or arXiv:2207.13806v1 [math.DG] for this version)
  https://doi.org/10.48550/arXiv.2207.13806

Submission history

From: Douglas Stryker [view email]
[v1] Wed, 27 Jul 2022 21:44:08 UTC (10 KB)
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