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arXiv · 2405.04001

Volume growth and positive scalar curvature

Guodong Wei·Guoyi Xu·Shuai Zhang
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Abstract

For three dimensional complete, non-compact Riemannian manifolds with non-negative Ricci curvature and uniformly positive scalar curvature, we obtain the sharp linear volume growth ratio and the corresponding rigidity.

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Guodong Wei, Guoyi Xu, Shuai Zhang. 2024-05-07. Volume growth and positive scalar curvature. https://doi.org/10.1090/tran%2F9280

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