On conformal Gauss maps
Copyright policy )On conformal Gauss maps
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.
5 pages. v2: minor corrections
- University of Bath United Kingdom
Mathematics - Differential Geometry, Differential Geometry (math.DG), /dk/atira/pure/subjectarea/asjc/2600/2600; name=General Mathematics, FOS: Mathematics, Conformal Gauss map, 53A30 (primary), 53C43 (secondary)
Mathematics - Differential Geometry, Differential Geometry (math.DG), /dk/atira/pure/subjectarea/asjc/2600/2600; name=General Mathematics, FOS: Mathematics, Conformal Gauss map, 53A30 (primary), 53C43 (secondary)
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