Three-manifolds with non-negatively pinched Ricci curvature
arXiv:2204.00504 · doi:10.4310/jdg/1760725985
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.
Accepted to The Journal of Differential Geometry