Effective volume growth of three-manifolds with positive scalar curvature
Differential Geometry
2024-09-10 v2 Metric Geometry
Abstract
In this note, we prove an effective linear volume growth for complete three-manifolds with non-negative Ricci curvature and uniformly positive scalar curvature. This recovers the results obtained by Munteanu-Wang. Our method builds upon recent work by Chodosh-Li-Stryker, which utilizes the technique of -bubbles and the almost-splitting theorem by Cheeger-Colding.
Keywords
Cite
@article{arxiv.2405.03023,
title = {Effective volume growth of three-manifolds with positive scalar curvature},
author = {Yipeng Wang},
journal= {arXiv preprint arXiv:2405.03023},
year = {2024}
}
Comments
10 pages; v2: minor changes, version accepted for publication in Proc. Amer. Math. Soc