https://neckpinch.com/authors/shi-zhong-du/New arXiv papers by Shi-Zhong Du, from Neckpinch Tue, 10 Nov 2026 04:10:28 GMT https://neckpinch.com/papers/2501.14226/arxiv:2501.14226Fri, 24 Jan 2025 00:00:00 GMTShi-Zhong Du, Xu-Jia Wang, Baocheng Zhu — Ben Andrews classified the limiting shape for isotropic curvature flow corresponding to the solutions of the Lₚ-Minkowski problem as p→-∞ in the planar case. In this paper, we use the group-invariant method to study the asymptotic shape of solutions to the Lₚ-Minkowski problem as p→-∞ in high dimensions. For any regular polytope T, we establish the existence of a solution Ω^((p)) to the Lₚ-Minkowski problem that converges to T as p→-∞, thereby revealing the intricate geometric structure underlying this limiting behavior. We also extend the result to the dual Minkowski problem.Other curvature flowsGauss curvature flow