Volume growth and positive scalar curvature

Wei, Guodong; Xu, Guoyi; Zhang, Shuai

doi:10.1090/tran/9280

Volume growth and positive scalar curvature
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by Guodong Wei, Guoyi Xu and Shuai Zhang;

Trans. Amer. Math. Soc.

DOI: https://doi.org/10.1090/tran/9280

Published electronically: June 18, 2025

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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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Volume growth and positive scalar curvature
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