Volume Gap Theorems for Ricci Nonnegative Metrics and Einstein Metrics

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Abstract

In this note, we prove some gap theorems of asymptotic volume ratio for Ricci nonnegative metrics, and gap theorems of volume for Einstein metrics.

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Asymptotic volume ratio Ricci curvature Einstein metrics.
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DOI

10.4208/jms.v58n2.25.01

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Volume Gap Theorems for Ricci Nonnegative Metrics and Einstein Metrics. (2025). Journal of Mathematical Study, 58(2), 133-144. https://doi.org/10.4208/jms.v58n2.25.01