Year: 2025
Type: article
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.
Source: Journal of Differential Geometry
Authors: Man-Chun Lee, Peter M. Topping
Institutions: Chinese University of Hong Kong, University of Warwick
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Award: G1693463272
OpenAlex ID: W4415401749