https://neckpinch.com/authors/yanan-ye/New arXiv papers by Yanan Ye, from Neckpinch Tue, 03 Nov 2026 08:41:12 GMT https://neckpinch.com/papers/2404.06141/arxiv:2404.06141Tue, 09 Apr 2024 00:00:00 GMTXilun Li, Yanan Ye — We show that every gradient shrinking soliton of the generalized Ricci flow on compact manifold is a Ricci soliton. And we prove that the pluriclosed soliton is gradient Kahler-Ricci soliton under a broad cohomological condition. Moreover, we construct the first example of non-trivial shrinking generalized soliton, which can serve as a singularity model of the generalized Ricci flow.Ricci flowGeneralized & G₂ flowsRicci solitonsKähler–Ricci solitonsSingularitiesKähler geometry https://neckpinch.com/papers/2308.14600/arxiv:2308.14600Mon, 28 Aug 2023 00:00:00 GMTYanan Ye — We provide a derivative estimate for the pluriclosed flow, controlling higher order derivatives of Chern curvature and torsion using the Chern curvature. Moreover, we derive an estimate for torsion tensor using Chern Ricci curvature in dimension two. And in the Hermitian-symplectic case, we find a monotonic quantity and use it to prove that all Hermitian-symplectic solitons are Kähler Ricci solitons.Generalized & G₂ flowsRicci solitonsKähler–Ricci solitonsKähler geometry