https://neckpinch.com/authors/dong-pu/New arXiv papers by Dong Pu, from Neckpinch Tue, 10 Nov 2026 04:10:28 GMT https://neckpinch.com/papers/2103.07702/arxiv:2103.07702Sat, 13 Mar 2021 00:00:00 GMTDong Pu — In this paper, we prove a sharp convergence theorem for the mean curvature flow of arbitrary codimension in spheres which improves Baker's convergence theorem. In particular, we obtain a new differentiable sphere theorem for submanifolds in spheres.Mean curvature flowSphere theorems https://neckpinch.com/papers/2004.14258/arxiv:2004.14258Wed, 29 Apr 2020 00:00:00 GMTDong Pu, Jingjing Su, Hongwei Xu — In this paper, we investigate the mean curvature flow of compact surfaces in 4-dimensional space forms. We prove the convergence theorems for the mean curvature flow under certain pinching conditions involving the normal curvature, which generalise Baker-Nguyen's convergence theorem.Mean curvature flowCurvature pinchingSphere theorems