Volume growth of 3-manifolds with scalar curvature lower bounds

preprint2022arXivOpen access

Abstract

We give a new proof of a recent result of Munteanu--Wang relating scalar curvature to volume growth on a 33-manifold with non-negative Ricci curvature. Our proof relies on the theory of μμ-bubbles introduced by Gromov as well as the almost splitting theorem due to Cheeger--Colding.

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