https://neckpinch.com/authors/eden-prywes/New arXiv papers by Eden Prywes, from Neckpinch Tue, 10 Nov 2026 04:10:28 GMT https://neckpinch.com/papers/2107.02785/arxiv:2107.02785Tue, 06 Jul 2021 00:00:00 GMTSun-Yung Alice Chang, Eden Prywes, Paul Yang — We study integral curvature conditions for a Riemannian metric g on S⁴ that quantify the best bilipschitz constant between (S⁴,g) and the standard metric on S⁴. Our results show that the best bilipschitz constant is controlled by the L²-norm of the Weyl tensor and the L¹-norm of the Q-curvature, under the conditions that those quantities are sufficiently small, g has a positive Yamabe constant and the Q-curvature is mean-positive. The proof of the result is achieved in two steps. Firstly, we construct a quasiconformal map between two conformally related metrics in a positive Yamabe class. Secondly, we apply the Ricci flow to establish the bilipschitz equivalence from such a conformal class to the standard conformal class on S⁴.Ricci flow