Volume growth and positive scalar curvature
Differential Geometry
2024-08-21 v1
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.
Cite
@article{arxiv.2405.04001,
title = {Volume growth and positive scalar curvature},
author = {Guodong Wei and Guoyi Xu and Shuai Zhang},
journal= {arXiv preprint arXiv:2405.04001},
year = {2024}
}
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