Three-manifolds with non-negatively pinched Ricci curvature
Differential Geometry
2026-03-24 v3
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.
Keywords
Cite
@article{arxiv.2204.00504,
title = {Three-manifolds with non-negatively pinched Ricci curvature},
author = {Man-Chun Lee and Peter M. Topping},
journal= {arXiv preprint arXiv:2204.00504},
year = {2026}
}
Comments
Accepted to The Journal of Differential Geometry