Three-manifolds with bounded curvature and uniformly positive scalar curvature
Differential Geometry
2023-02-24 v2
Abstract
In this note, we prove that for a complete noncompact three dimensional Riemannian manifold with bounded sectional curvature, if it has uniformly positive scalar curvature, then there is a uniform lower bound on the injectivity radius.
Keywords
Cite
@article{arxiv.2210.14442,
title = {Three-manifolds with bounded curvature and uniformly positive scalar curvature},
author = {Conghan Dong},
journal= {arXiv preprint arXiv:2210.14442},
year = {2023}
}
Comments
minor revision