Yizhong Zheng — Neckpinchhttps://neckpinch.com/authors/yizhong-zheng/New arXiv papers by Yizhong Zheng, from Neckpinch Tue, 10 Nov 2026 04:10:28 GMT Uniform Lipschitz continuity of the isoperimetric profile of compact surfaces under normalized Ricci flowhttps://neckpinch.com/papers/2001.00341/arxiv:2001.00341Thu, 02 Jan 2020 00:00:00 GMTYizhong Zheng — We show that the isoperimetric profile h_(g(t))(ξ) of a compact Riemannian manifold (M,g) is jointly continuous when metrics g(t) vary continuously. We also show that, when M is a compact surface and g(t) evolves under normalized Ricci flow, h²_(g(t))(ξ) is uniform Lipschitz continuous and hence h_(g(t))(ξ) is uniform locally Lipschitz continuous.Ricci flowGeometric inequalities