https://neckpinch.com/authors/wenlong-wang/New arXiv papers by Wenlong Wang, from Neckpinch Tue, 10 Nov 2026 04:10:28 GMT https://neckpinch.com/papers/1904.07713/arxiv:1904.07713Tue, 16 Apr 2019 00:00:00 GMTRongli Huang, Qianzhong Ou, Wenlong Wang — We show Bernstein type results for the entire self-shrinking solutions to Lagrangian mean curvature flow in (ℝⁿ×ℝⁿ, g_τ). The proofs rely on a priori estimates and barriers construction.Mean curvature flowLagrangian mean curvature flowSelf-shrinkers & translators https://neckpinch.com/papers/1610.09285/arxiv:1610.09285Fri, 28 Oct 2016 00:00:00 GMTWenlong Wang — We prove that all entire smooth strictly convex self-shrinking solutions on ℝⁿ to the Hessian quotient flows must be quadratic. This generalizes the rigidity theorem for entire self-shrinking solutions to the Lagrangian mean curvature flow in pseudo-Euclidean space due to Ding-Xin. Moreover, we show that our argument works for a larger class of equations. In particular, we obtain rigidity results for entire self-shrinking solutions on ℂⁿ to the Kähler-Ricci flow under certain conditions.Ricci flowKähler–Ricci flowMean curvature flowLagrangian mean curvature flowSelf-shrinkers & translatorsKähler geometryStability & uniqueness https://neckpinch.com/papers/1602.00369/arxiv:1602.00369Mon, 01 Feb 2016 00:00:00 GMTWenlong Wang — We prove that every entire self-shrinking solution on ℂⁿ to the Kähler-Ricci flow with strictly real convex potential must be quadratic. The very same argument also gives a pointwise proof for the rigidity of entire self-shrinking solutions to Lagrangian mean curvature flow in pseudo-Euclidean space obtained by Q. Ding and Y.L. Xin. Furthermore, we show that our argument works for a larger class of equations.Ricci flowKähler–Ricci flowMean curvature flowLagrangian mean curvature flowSelf-shrinkers & translatorsKähler geometryStability & uniqueness https://neckpinch.com/papers/1602.00368/arxiv:1602.00368Mon, 01 Feb 2016 00:00:00 GMTWenlong Wang — We show that every entire self-shrinking solution on ℂ¹ to the Kähler-Ricci flow must be generated from a quadratic potential.Ricci flowKähler–Ricci flowSelf-shrinkers & translatorsKähler geometryStability & uniqueness