On conformal Gauss maps
Differential Geometry
2019-12-04 v2
Abstract
We characterise the maps into the space of -spheres in 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.
Cite
@article{arxiv.1904.02574,
title = {On conformal Gauss maps},
author = {F. E. Burstall},
journal= {arXiv preprint arXiv:1904.02574},
year = {2019}
}
Comments
5 pages. v2: minor corrections