https://neckpinch.com/authors/bing-wang/New arXiv papers by Bing Wang, from Neckpinch Tue, 03 Nov 2026 07:15:30 GMT https://arxiv.org/abs/2610.05217arxiv:2610.05217Sun, 04 Oct 2026 00:00:00 GMTHaozhao Li, Bing Wang, Kai Zheng — We prove that the Calabi flow extends past any finite time on compact Kähler surfaces if its Sobolev constants remain uniformly bounded. Moreover, we show the long-time existence of Calabi flow in certain Kähler classes on compact Kähler surfaces when the initial Calabi energy is strictly below an explicit threshold.Other curvature flowsSingularitiesKähler geometryLong-time existence & convergenceKähler–Einstein & K-stability https://arxiv.org/abs/2610.05204arxiv:2610.05204Sun, 04 Oct 2026 00:00:00 GMTYu Li, Bing Wang — We study tangent flows of noncollapsed Ricci flow limit spaces in the sense of Fang-Li. We prove that the regular part of every negative time slice is geodesically convex: any minimizing geodesic that meets the regular part has its entire interior contained in it. We also identify each negative time slice with the metric completion of its regular Riemannian part, thereby identifying the negative-time tangent flow with its associated metric soliton.Ricci flowSingularities(Non)collapsing https://arxiv.org/abs/2609.18594arxiv:2609.18594Wed, 16 Sep 2026 00:00:00 GMTBing Wang, Jie Wang — As a metric measure space possessing positive Bakry-Émery curvature, a Ricci shrinker with potential function f admits a heat kernel H_f under the weighted volume measure e^(−f)dv. In this paper, we study H_f systematically and establish a series of fundamental estimates. Moreover, we clarify the equivalence between H_f and the spacetime heat kernel H(x,t;y,s) under Ricci flow induced by a Ricci shrinker. Inspired by this relation, we extend corresponding analysis tools of Ricci flows to Ricci shrinker metric measure spaces, such as Nash entropy and reduced distance. As a direct application, we prove that |∇R|=o(f^(3/2)) implies R=o(f).Ricci flowRicci solitonsPerelman entropyReduced volumeHeat kernelLimit spaces & RCD https://arxiv.org/abs/2603.22834arxiv:2603.22834Tue, 24 Mar 2026 00:00:00 GMTJing-Bin Cai, Bing Wang — Based on the framework of Koch-Lamm and tensor heat kernel estimates, we obtain a uniform proof of the short-time existence, uniqueness, and continuous dependence for Ricci flows starting from a complete Riemannian metric with bounded curvature. A new ingredient is an effective continuous dependence estimate without the assumption of injectivity radius lower bound.Ricci flowHeat kernelStability & uniquenessBoundaries & non-compactHarmonic maps & DeTurck trick https://arxiv.org/abs/2509.23346arxiv:2509.23346Sat, 27 Sep 2025 00:00:00 GMTXiuxiong Chen, Bing Wang — We clarify the definition of polarized canonical radius in the study of Kahler Ricci flow.Ricci flowKähler–Ricci flowKähler geometry https://arxiv.org/abs/2301.09784arxiv:2301.09784Tue, 24 Jan 2023 00:00:00 GMTYu Li, Bing Wang — In this paper, we prove that any Kähler Ricci shrinker surface has bounded sectional curvature. Combining this estimate with earlier work by many authors, we provide a complete classification of all Kähler Ricci shrinker surfaces.Ricci solitonsKähler geometry https://arxiv.org/abs/2301.08430arxiv:2301.08430Fri, 20 Jan 2023 00:00:00 GMTYu Li, Bing Wang — This paper is the sequel to our study of heat kernels on Ricci shrinkers in. In this paper, we improve many estimates in and extend the recent progress of Bamler. In particular, we drop the compactness and curvature boundedness assumptions and show that the theory of IF-convergence holds naturally on any Ricci flows induced by Ricci shrinkers.Ricci flowRicci solitonsHeat kernelLimit spaces & RCD https://arxiv.org/abs/2109.02449arxiv:2109.02449Mon, 06 Sep 2021 00:00:00 GMTYuanqing Ma, Bing Wang — Consider a Riemannian manifold (M^(m), g) whose volume is the same as the standard sphere (S^(m), gᵣound). If p>m/2 and ∫_M \ Rc-(m-1)g\₋^(p) dv is sufficiently small, we show that the normalized Ricci flow initiated from (M^(m), g) will exist immortally and converge to the standard sphere. The choice of p is optimal.Ricci flowLong-time existence & convergence https://arxiv.org/abs/2108.03622arxiv:2108.03622Sun, 08 Aug 2021 00:00:00 GMTYu Li, Bing Wang — In this paper, we prove that the round cylinders are rigid in the space of Ricci shrinkers. Namely, any Ricci shrinker that is sufficiently close to Sⁿ⁻¹× ℝ in the pointed-Gromov-Hausdorff topology must itself be isometric to Sⁿ⁻¹× ℝ.Ricci solitonsLimit spaces & RCDStability & uniqueness