On Conformal Gauss Maps

Francis Burstall

doi:10.1112/blms.12293

On Conformal Gauss Maps

Francis Burstall

Department of Mathematical Sciences

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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 language	English
Pages (from-to)	989-994
Number of pages	6
Journal	Bulletin of the London Mathematical Society
Volume	51
Issue number	6
Early online date	16 Oct 2019
DOIs	https://doi.org/10.1112/blms.12293
Publication status	Published - 31 Dec 2019

Keywords

Conformal Gauss map

ASJC Scopus subject areas

General Mathematics

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10.1112/blms.12293

1904.02574.PDF
Copyright © 2019 Authors(s). The final publication is available at Bulletin of the London Mathematical Society via https://doi.org/10.1112/blms.12293
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http://arxiv.org/abs/1904.02574

Cite this

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AB - 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.

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M3 - Article

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On Conformal Gauss Maps

Abstract

Keywords

ASJC Scopus subject areas

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