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Volume Gap Theorems for Ricci Nonnegative Metrics and Einstein Metrics

Volume Gap Theorems for Ricci Nonnegative Metrics and Einstein Metrics

Year:    2025

Author:    Xiuxiong Chen, Conghan Dong

Journal of Mathematical Study, Vol. 58 (2025), Iss. 2 : pp. 133–144

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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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/jms.v58n2.25.01

Journal of Mathematical Study, Vol. 58 (2025), Iss. 2 : pp. 133–144

Published online:    2025-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    12

Keywords:    Asymptotic volume ratio Ricci curvature Einstein metrics.

Author Details

Xiuxiong Chen

Conghan Dong