Proceedings of the American Mathematical Society

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ISSN 1088-6826(e) ISSN 0002-9939(p)

A global correspondence between CMC-surfaces in and pairs of non-conformal harmonic maps into

Author(s): R. Aiyama; K. Akutagawa; R. Miyaoka; M. Umehara
Journal: Proc. Amer. Math. Soc. 128 (2000), 939-941.
MSC (2000): Primary 53C42; Secondary 53A10
Posted: October 25, 1999
MathSciNet review: 1707134
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Abstract | References | Similar articles | Additional information

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

References:

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