Volume growth and positive scalar curvature

Fuente: arXiv
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Autores principales: Wei, Guodong, Xu, Guoyi, Zhang, Shuai
Formato: Preprint
Publicado: 2024
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author Wei, Guodong
Xu, Guoyi
Zhang, Shuai
author_facet Wei, Guodong
Xu, Guoyi
Zhang, Shuai
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2405_04001
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Volume growth and positive scalar curvature
Wei, Guodong
Xu, Guoyi
Zhang, Shuai
Differential Geometry
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.
title Volume growth and positive scalar curvature
topic Differential Geometry
url https://arxiv.org/abs/2405.04001