Classification of Willmore surfaces with vanishing Gaussian curvature
Differential Geometry
2022-10-31 v1
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.
Cite
@article{arxiv.2210.15992,
title = {Classification of Willmore surfaces with vanishing Gaussian curvature},
author = {Yunqing Wu},
journal= {arXiv preprint arXiv:2210.15992},
year = {2022}
}