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arXiv · 2204.00504

Three-manifolds with non-negatively pinched Ricci curvature

Man-Chun Lee·Peter M. Topping
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Abstract

We show that every complete non-compact three-manifold with non-negatively pinched Ricci curvature admits a complete Ricci flow solution for all positive time, with scale-invariant curvature decay and preservation of pinching. Combining with recent work of Lott and Deruelle-Schulze-Simon gives a proof of Hamilton's pinching conjecture without additional hypotheses.

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Man-Chun Lee, Peter M. Topping. 2022-04-01. Three-manifolds with non-negatively pinched Ricci curvature. https://doi.org/10.4310/jdg/1760725985

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