A global correspondence between cmc-surfaces in s3 and pairs of non-conformal harmonic maps into s2

R. Aiyama, K. Akutagawa, R. Miyaoka, M. Umehara

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

We show there is a global correspondence between branched constant mean curvature (i.e. CMC-) immersions in S3/{±1} and pairs of non-conformal harmonic maps into S2 in the same associated family. Furthermore, we give two applications.

Original languageEnglish
Pages (from-to)939-941
Number of pages3
JournalProceedings of the American Mathematical Society
Volume128
Issue number3
Publication statusPublished - 2000 Dec 1
Externally publishedYes

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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