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arXiv · 1904.02574

On conformal Gauss maps

F. E. Burstall
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Abstract

We characterise the maps into the space of $2$-spheres in $S^n$ that are the conformal Gauss maps of conformal immersions of a surface. In particular, we give an invariant formulation and efficient proof of a characterisation, due to Dorfmeister--Wang \cites{DorWan13,DorWan}, of the harmonic maps that are conformal Gauss maps of Willmore surfaces.

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F. E. Burstall. 2019-04-04. On conformal Gauss maps. https://doi.org/10.1112/blms.12293

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