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arXiv · 2405.03023

Effective volume growth of three-manifolds with positive scalar curvature

Yipeng Wang
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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 $\mu$-bubbles and the almost-splitting theorem by Cheeger-Colding.

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Yipeng Wang. 2024-05-05. Effective volume growth of three-manifolds with positive scalar curvature. https://arxiv.org/abs/2405.03023

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