Volume growth and positive scalar curvature

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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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Wei et al. (Tue,) studied this question.

synapsesocial.com/papers/68e6b2a9b6db643587634650 https://doi.org/https://doi.org/10.1090/tran/9280

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Volume growth and positive scalar curvature

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