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arXiv · 1903.00883

Willmore surfaces in spheres: the DPW approach via the conformal Gauss map

Josef F. Dorfmeister·Peng Wang
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Abstract

The paper builds a DPW approach of Willmore surfaces via conformal Gauss maps. As applications, we provide descriptions of minimal surfaces in $\mathbb R^{n+2}$, isotropic surfaces in $S^4$ and homogeneous Willmore tori via the loop group method. A new example of a Willmore two-sphere in $S^6$ without dual surfaces is also presented.

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BibTeXRIS

Josef F. Dorfmeister, Peng Wang. 2019-03-03. Willmore surfaces in spheres: the DPW approach via the conformal Gauss map. https://arxiv.org/abs/1903.00883

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