https://neckpinch.com/authors/thomas-koerber/New arXiv papers by Thomas Koerber, from Neckpinch Tue, 03 Nov 2026 08:37:45 GMT https://neckpinch.com/papers/2305.04702/arxiv:2305.04702Mon, 08 May 2023 00:00:00 GMTGerhard Huisken, Thomas Koerber — Let (M,g) be a complete, connected, non-compact Riemannian three-manifold with non-negative Ricci curvature satisfying Ric≥εtr(Ric) g for some ε>0. In this note, we give a new proof based on inverse mean curvature flow that (M,g) is either flat or has non-Euclidean volume growth. In conjunction with results of J. Lott and of M.-C. Lee and P. Topping, this gives an alternative proof of a conjecture of R. Hamilton recently proven by A. Deruelle, F. Schulze, and M. Simon using Ricci flow.Ricci flowMean curvature flowOther curvature flowsInverse mean curvature flow3-manifoldsBoundaries & non-compact