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Volume growth and positive scalar curvature

Authors :
Wei, Guodong
Xu, Guoyi
Zhang, Shuai
Source :
Transactions of the American Mathematical Society,2024
Publication Year :
2024

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.<br />Comment: submitted to some journal

Details

Database :
arXiv
Journal :
Transactions of the American Mathematical Society,2024
Publication Type :
Report
Accession number :
edsarx.2405.04001
Document Type :
Working Paper
Full Text :
https://doi.org/10.1090/tran/9280