https://neckpinch.com/authors/yang-zhou/New arXiv papers by Yang Zhou, from Neckpinch Tue, 03 Nov 2026 08:37:45 GMT https://neckpinch.com/papers/2407.05663/arxiv:2407.05663Mon, 08 Jul 2024 00:00:00 GMTGenggeng Huang, Xu-Jia Wang, Yang Zhou — We study the regularity of the p-Gauss curvature flow with flat side. In our previous paper(arxiv:2403.12292), we obtained the regularity of the interface, namely the boundary of the flat part. In this paper, we study the regularity of the convex hypersurface near the interface.Other curvature flowsGauss curvature flow https://neckpinch.com/papers/2403.12292/arxiv:2403.12292Mon, 18 Mar 2024 00:00:00 GMTG. Huang, X. -J. Wang, Y. Zhou — In this paper, we prove the long time regularity of the interface in the p-Gauss curvature flow with flat side in all dimensions for p>1/n. Here the interface is the boundary of the flat part in the flow. In dimension 2, this problem was solved in for p=1 and in for p∈(1/2,1). We utilize the duality method to transform the Gauss curvature flow to a singular parabolic Monge-Ampère equation, and prove the regularity of the interface by studying the asymptotic cone of the parabolic Monge-Ampère equation in the polar coordinates.Other curvature flowsGauss curvature flowKähler geometry