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arxiv: math/0211228 · v1 · submitted 2002-11-14 · 🧮 math.DG

Hamilton's injectivity radius estimate for sequences with almost nonnegative curvature operators

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keywords sequencesalmostcurvatureestimatehamiltoninjectivitynonnegativeoperators
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We give a new and complete proof of Hamilton's injectivity radius estimate for sequences with bounded and almost nonnegative curvature operators, unbounded diameters, and bump-like origins. Such sequences arise in particular from dilations about a singularity of the Ricci flow on a 3-manifold.

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