Conghan Dong
Abstract
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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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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.
Key concepts: Scalar curvature, Sectional curvature, Prescribed scalar curvature problem, Bounded function, Curvature, Mathematics, Riemann curvature tensor, Ricci curvature