Research profile

Kunbo Wang

Works on Yamabe flow, long-time existence & convergence and minimal & CMC surfaces.

NP-RC-213014

11
topics
2
co-authors
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  1. Pak Tung Ho

    2 joint workslatest 2020

  2. Weimin Sheng

    2 joint workslatest 2018

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Their work in this field since 2016, with the older papers the site recommends. Titles open each paper's page, with its abstract, PDF and HTML versions; Connections shows the papers closest to it. The arXiv listing has the complete record.

2020

math.DGWider flowsarXiv:2007.02019

CR Yamabe constant, CR Yamabe flow and its soliton

Pak Tung Ho, Kunbo Wang

On a compact strictly pseudoconvex CR manifold , 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.

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2018

math.DGWider flowsarXiv:1807.08876

The Exponential Convergence of the CR Yamabe Flow

Weimin 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.

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2017

math.DGWider flowsarXiv:1712.05918

Area-preserving mean curvature flow of rotationally symmetric hypersurfaces with free boundaries

Kunbo Wang

In this paper, we consider the area-preserving mean curvature flow with free Neumann boundaries. We show that for a rotationally symmetric -dimensional hypersurface in 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.

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