Volume growth of 3-manifolds with scalar curvature lower bounds
Differential Geometry
2022-07-29 v1
Abstract
We give a new proof of a recent result of Munteanu--Wang relating scalar curvature to volume growth on a -manifold with non-negative Ricci curvature. Our proof relies on the theory of -bubbles introduced by Gromov as well as the almost splitting theorem due to Cheeger--Colding.
Keywords
Cite
@article{arxiv.2207.13806,
title = {Volume growth of 3-manifolds with scalar curvature lower bounds},
author = {Otis Chodosh and Chao Li and Douglas Stryker},
journal= {arXiv preprint arXiv:2207.13806},
year = {2022}
}