https://neckpinch.com/authors/weifeng-wo/New arXiv papers by Weifeng Wo, from Neckpinch Tue, 03 Nov 2026 08:37:45 GMT https://neckpinch.com/papers/2505.23067/arxiv:2505.23067Thu, 29 May 2025 00:00:00 GMTRongli Huang, Changzheng Qu, Zhizhang Wang, Weifeng Wo — We investigate the evolution of strictly convex hypersurfaces driven by the k-Hessian curvature flow, subject to the second boundary condition. We first explore the translating solutions corresponding to this boundary value problem. Next, we establish the long-time existence of the flow and prove that it converges to a translating solution. To overcome the difficulty of driving boundary C² estimates, we employ an orthogonal invariance technique. Using this method, we extend the results of Schnürer-Smoczyk and Schnürer from the second boundary value problem of Gauss curvature flow to k-Hessian curvature flow.Other curvature flowsGauss curvature flowSelf-shrinkers & translatorsBoundaries & non-compactLong-time existence & convergence https://neckpinch.com/papers/2409.07301/arxiv:2409.07301Wed, 11 Sep 2024 00:00:00 GMTQu Changzheng, Wang Zhizhang, Wo Weifeng — In this paper, we study the k-Hessian curvature flow of noncompact spacelike hypersurfaces in Minkowski space. We first prove the existence of translating solutions with given asymptotic behavior. Then, we prove that for strictly convex initial hypersurface satisfying certain conditions, the curvature flow exists for all time, and the normalized flow converges to a translating solution.Other curvature flowsSelf-shrinkers & translatorsBoundaries & non-compactLong-time existence & convergencePhysics