Qun Chen — Neckpinchhttps://neckpinch.com/authors/qun-chen/New arXiv papers by Qun Chen, from Neckpinch Tue, 03 Nov 2026 08:37:45 GMT A rigidity theorem of ancient solutions to the mean curvature flow in codimension onehttps://neckpinch.com/papers/2412.08867/arxiv:2412.08867Thu, 12 Dec 2024 00:00:00 GMTQun Chen, Hongbing Qiu — By carrying out a point-wise estimate for the second fundamental form, we prove a rigidity theorem of complete noncompact ancient solutions to the mean curvature flow in codimension one. Moreover, we derive an optimal growth condition.Mean curvature flowAncient solutionsStability & uniquenessBoundaries & non-compact