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The conformal Gauss map of submanifolds of the Möbius space

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Abstract

In this paper we study the conformal geometry of immersed submanifolds of the Möbius spaceS n introducing the conformal Gauss map. In particular we relate its harmonicity to an extended notion of Willmore surface which originated from the work of Bryant. For a more detailed account the reader is referred to the Introduction.

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Authors and Affiliations

  1. Department of Mathematical Sciences, University of Durham, DH1 3LE, Durham, Great Britain

    Marco Rigoli

  2. International Centre for Theoretical Physics, Strada Costiera 11, 34100, Trieste, Italy

    Marco Rigoli

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  1. Marco Rigoli
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Rigoli, M. The conformal Gauss map of submanifolds of the Möbius space. Ann Glob Anal Geom 5, 97–116 (1987). https://doi.org/10.1007/BF00127853

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  • DOI: https://doi.org/10.1007/BF00127853

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