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arXiv · 2207.13806

Volume growth of 3-manifolds with scalar curvature lower bounds

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.

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Otis Chodosh, Chao Li, Douglas Stryker. 2022-07-27. Volume growth of 3-manifolds with scalar curvature lower bounds. https://arxiv.org/abs/2207.13806

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