May 5, 2024Open Access

Effective volume growth of three-manifolds with positive scalar curvature

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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 -bubbles and the almost-splitting theorem by Cheeger-Colding.

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Yipeng Wang (Sun,) studied this question.

synapsesocial.com/papers/68e6b802b6db643587639583 https://doi.org/https://doi.org/10.48550/arxiv.2405.03023

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