https://neckpinch.com/authors/xilun-li/New arXiv papers by Xilun Li, 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/2212.05414/arxiv:2212.05414Sun, 11 Dec 2022 00:00:00 GMTXilun Li — We introduce analogous geometric quantities and prove some geometric and analytic bounds in [Bam20a] to generalized Ricci flow.Ricci flowGeneralized & G₂ flowsPerelman entropyHeat kernel