On conformal Gauss maps

Autor: Burstall, F. E.
Rok vydání: 2019
Předmět:
Zdroj: Bull. London Math. Soc. 51 (2019) 989-994
Druh dokumentu: Working Paper
DOI: 10.1112/blms.12293
Popis: 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.
Comment: 5 pages. v2: minor corrections
Databáze: arXiv