Three-manifolds with bounded curvature and uniformly positive scalar curvature

2022/10/26 by Conghan Dong, Dong, Conghan · 1 citation
Mathematics · Physics and Astronomy · #Geometric Analysis and Curvature Flows #Advanced Differential Geometry Research #Advanced Operator Algebra Research

paper · pdf · doi:10.48550/arxiv.2210.14442

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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• Positive curvature conditions on contractible manifolds

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