On conformal Gauss maps
Abstract
We characterise the maps into the space of 2-spheres in Sn 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 DorWan13,DorWan, of the harmonic maps that are conformal Gauss maps of Willmore surfaces.
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