https://neckpinch.com/authors/gavin-ball/New arXiv papers by Gavin Ball, from Neckpinch Tue, 03 Nov 2026 08:37:45 GMT https://neckpinch.com/papers/2310.00143/arxiv:2310.00143Fri, 29 Sep 2023 00:00:00 GMTGavin Ball — This article studies special solutions to symplectic curvature flow in dimension four. Firstly, we derive a local normal form for static solutions in terms of holomorphic data and use this normal form to show that every complete static solution to symplectic curvature flow in dimension four is Kahler-Einstein. Secondly, we perform an exterior differential systems analysis of the soliton equation for symplectic curvature flow and use the Cartan-Kahler theorem to prove a local existence and generality theorem for solitons.Other curvature flowsEinstein metrics4-manifoldsKähler geometryKähler–Einstein & K-stability