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arXiv · 2210.14442

Three-manifolds with bounded curvature and uniformly positive scalar curvature

Conghan Dong
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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.

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Conghan Dong. 2022-10-26. Three-manifolds with bounded curvature and uniformly positive scalar curvature. https://arxiv.org/abs/2210.14442

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