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MR1707134 53C42 (53A10)
Aiyama, R.; Akutagawa, K.; Miyaoka, R.; Umehara, M. A global correspondence between CMC-surfaces in $S^3$ and pairs of non-conformal harmonic maps into $S^2$. Proc. Amer. Math. Soc. 128 (2000), no. 3, 939–941.
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