Classification of Willmore surfaces with vanishing Gaussian curvature

Yunqing Wu

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arXiv · 2210.15992

Classification of Willmore surfaces with vanishing Gaussian curvature

Yunqing Wu

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Abstract

We classify simply-connected, complete Willmore surfaces with vanishing Gaussian curvature. We also study the Willmore cones and give a classification. As an application, we give a Bernstein-type theorem.

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Yunqing Wu. 2022-10-28. Classification of Willmore surfaces with vanishing Gaussian curvature. https://arxiv.org/abs/2210.15992

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