Volume Gap Theorems for Ricci Nonnegative Metrics and Einstein Metrics

Xiuxiong Chen , Conghan Dong

Journal of Mathematical Study ›› 2025, Vol. 58 ›› Issue (2) : 133 -144.

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Journal of Mathematical Study ›› 2025, Vol. 58 ›› Issue (2) : 133 -144. DOI: 10.4208/jms.v58n2.25.01
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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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Xiuxiong Chen, Conghan Dong. Volume Gap Theorems for Ricci Nonnegative Metrics and Einstein Metrics. Journal of Mathematical Study, 2025, 58(2): 133-144 DOI:10.4208/jms.v58n2.25.01

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