### Abstract

We show there is a global correspondence between branched constant mean curvature (i.e. CMC-) immersions in S^{3}/{±1} and pairs of non-conformal harmonic maps into S^{2} in the same associated family. Furthermore, we give two applications.

Original language | English |
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Pages (from-to) | 939-941 |

Number of pages | 3 |

Journal | Proceedings of the American Mathematical Society |

Volume | 128 |

Issue number | 3 |

Publication status | Published - 2000 Dec 1 |

Externally published | Yes |

### ASJC Scopus subject areas

- Mathematics(all)
- Applied Mathematics

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## Cite this

Aiyama, R., Akutagawa, K., Miyaoka, R., & Umehara, M. (2000). A global correspondence between cmc-surfaces in s

^{3}and pairs of non-conformal harmonic maps into s^{2}.*Proceedings of the American Mathematical Society*,*128*(3), 939-941.