https://neckpinch.com/authors/jingrui-cheng/New arXiv papers by Jingrui Cheng, from Neckpinch Tue, 03 Nov 2026 07:15:30 GMT https://arxiv.org/abs/2603.19405arxiv:2603.19405Thu, 19 Mar 2026 00:00:00 GMTJingrui Cheng, Junhao Tian — In this paper, we observe that if the initial data of pseudo Calabi flow has volume form C⁰ close to a smooth one, then the flow is immediately smooth for t>0. As an application, we show that if the initial data has volume form C⁰ close to that of a cscK metric, then the pseudo Calabi flow exists for t∈ (0,+∞). We also prove similar improvement of regularity and long time existence result for pseudo Calabi flow on a Fano manifold when the volume form is bounded and the class is close to c₁(M).Other curvature flowsKähler geometryLong-time existence & convergenceKähler–Einstein & K-stability