https://neckpinch.com/authors/kunbo-wang/New arXiv papers by Kunbo Wang, from Neckpinch Tue, 10 Nov 2026 04:10:28 GMT https://neckpinch.com/papers/2007.02019/arxiv:2007.02019Sat, 04 Jul 2020 00:00:00 GMTPak Tung Ho, Kunbo Wang — On a compact strictly pseudoconvex CR manifold (M,þ), we consider the CR Yamabe constant of its infinite conformal covering. By using the maximum principles, we then prove a uniqueness theorem for the CR Yamabe flow on a complete noncompact CR manifold. Finally we obtain some properties of the CR Yamabe soliton on complete noncompact CR manifolds.Yamabe flowAlmost & η-Ricci solitonsStability & uniquenessBoundaries & non-compact https://neckpinch.com/papers/1807.08876/arxiv:1807.08876Tue, 24 Jul 2018 00:00:00 GMTWeimin Sheng, Kunbo Wang — In this paper, we study the CR Yamabe flow with zero CR Yamabe invariant. We use the CR Poincaré inequality and a Gagliardo-Nirenberg type interpolation inequality to show that this flow has long time solution and the solution converges to a contact form with flat pseudo-Hermitian scalar curvature exponentially.Yamabe flowScalar curvatureLong-time existence & convergence https://neckpinch.com/papers/1712.06733/arxiv:1712.06733Tue, 19 Dec 2017 00:00:00 GMTPak Tung Ho, Weimin Sheng, Kunbo Wang — We consider the CR Yamabe flow on a compact strictly pseudoconvex CR manifold M of real dimension 2n+1. We prove convergence of the CR Yamabe flow when n=1 or M is spherical.Yamabe flow https://neckpinch.com/papers/1712.05918/arxiv:1712.05918Sat, 16 Dec 2017 00:00:00 GMTKunbo Wang — In this paper, we consider the area-preserving mean curvature flow with free Neumann boundaries. We show that for a rotationally symmetric n-dimensional hypersurface in Rⁿ⁺¹ between two parallel hyperplanes will converge to a cylinder with the same area under this flow. We use the geometric properties and the maximal principle to obtain gradient and curvature estimates, leading to long-time existence of the flow and convergence to a constant mean curvature surface.Mean curvature flowVolume-preserving & constrained flowsFree boundary & capillaryLong-time existence & convergenceRotational symmetry & warped productsMinimal & CMC surfaces