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There exist no 2-type surfaces in E 3 which are images under stereographic projection of minimal surfaces in S 3

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Abstract

In this paper we deal with the following particular case of a weaker conjecture by B. Y. Chen: Are there 2-type Willmore surfaces in E 3? In particular we prove that the above question has a negative answer when the surface is the image under stereographic projection of a minimal surface in S 3.

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Authors and Affiliations

  1. Departamento de Geometria y Topologia, Universidad de Granada, 18071, Granada, Spain

    Manuel Barros

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  1. Manuel Barros
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Partially supported by a DGICYT Grant No.PS87-0115

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Barros, M. There exist no 2-type surfaces in E 3 which are images under stereographic projection of minimal surfaces in S 3 . Ann Glob Anal Geom 10, 219–226 (1992). https://doi.org/10.1007/BF00136865

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  • DOI: https://doi.org/10.1007/BF00136865

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