https://neckpinch.com/authors/qiang-tu/New arXiv papers by Qiang Tu, from Neckpinch Tue, 10 Nov 2026 04:10:28 GMT https://neckpinch.com/papers/2104.08884/arxiv:2104.08884Sun, 18 Apr 2021 00:00:00 GMTJing Mao, Qiang Tu — Given a smooth convex cone in the Euclidean (n+1)-space (n≥2), we consider strictly mean convex hypersurfaces with boundary which are star-shaped with respect to the center of the cone and which meet the cone perpendicularly. If those hypersurfaces inside the cone evolve by a class of inverse curvature flows, then, by using the convexity of the cone in the derivation of the gradient and Hölder estimates, we can prove that this evolution exists for all the time and the evolving hypersurfaces converge smoothly to a piece of a round sphere as time tends to infinity.Other curvature flowsInverse mean curvature flowLong-time existence & convergence https://neckpinch.com/papers/2001.07324/arxiv:2001.07324Tue, 21 Jan 2020 00:00:00 GMTLi Chen, Qiang Tu, Di Wu, Ni Xiang — In this paper we study a normalised anisotropic Gauss curvature flow of strictly convex, closed hypersurfaces in the Euclidean space R^n+1. We prove that the flow exists for all time and converges smoothly to the unique, strictly convex solution of a Monge-Amp`ere type equation. Our argument provides a parabolic proof in the smooth category for the existence of solutions to the Dual Orlicz-Minkowski problem introduced by Zhu, Xing and Ye.Other curvature flowsGauss curvature flowAnisotropic & nonlocal flowsLong-time existence & convergence https://neckpinch.com/papers/1907.03649/arxiv:1907.03649Mon, 08 Jul 2019 00:00:00 GMTLi Chen, Qiang Tu, Ni Xiang — We study the motion of smooth, closed, strictly convex hypersurfaces in Rn+1 expanding in the direction of their normal vector field with speed depending on the k-th elementary symmetric polynomial of the principal radii of curvature. As an application, we gives a unifed fow approach to Lp-Christoffel-Minkowski problem for p > 1.Other curvature flowsGauss curvature flow