https://neckpinch.com/authors/yuk-shing-lam/New arXiv papers by Yuk Shing Lam, from Neckpinch Tue, 03 Nov 2026 08:41:12 GMT https://neckpinch.com/papers/2607.20350/arxiv:2607.20350Wed, 22 Jul 2026 00:00:00 GMTYuk Shing Lam, Longzhi Lin — In this paper, we show that the modified mean curvature flow starting from an arbitrary graph in a Fuchsian manifold exists for all time and converges smoothly to an equidistant surface of constant mean curvature as t→ ∞. This result generalizes earlier work to the modified mean curvature flow setting and removes the restrictive global gradient bound initially required for the standard mean curvature flow by Huang, Zhou, and the second author.Mean curvature flowLong-time existence & convergence