On Conformal Gauss Maps

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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 into S n. In particular, we give an invariant formulation and efficient proof of a characterisation, due to Dorfmeister–Wang [4, 5], of the harmonic maps that are conformal Gauss maps of Willmore surfaces.

Original languageEnglish
Pages (from-to)989-994
Number of pages6
JournalBulletin of the London Mathematical Society
Volume51
Issue number6
Early online date16 Oct 2019
DOIs
Publication statusPublished - 31 Dec 2019

Keywords

  • Conformal Gauss map

ASJC Scopus subject areas

  • Mathematics(all)

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