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MR663788 (83h:53077) 53C42 (53A10)
Hsiang, Wu-yi New examples of minimal imbeddings of $S\sp{n-1}$ into $S\sp{n}(1)$—the spherical Bernstein problem for $n=4$, $5$, $6$. Bull. Amer. Math. Soc. (N.S.) 7 (1982), no. 2, 377–379.
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