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Explicit Representations of Mimmal Immersions of 2-Spheres into S^(2m) 被引量:1

Explicit Representations of Mimmal Immersions of 2-Spheres into S^(2m)
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摘要 For all minimal immersions of the 2-sphere S<sup>2</sup> into the unit 2m-sphere S<sup>2m</sup>with area 2π[m(m+1)+2],we are able to give an explicit representation by some real parameters.This representation is rather important in the study of minimal 2-spheres in S<sup>2m</sup>because the parameters concerned are independent of each other.Particular examples are given and a classification theorem is also obtained. For all minimal immersions of the 2-sphere S<sup>2</sup> into the unit 2m-sphere S<sup>2m</sup>with area 2π[m(m+1)+2],we are able to give an explicit representation by some real parameters.This representation is rather important in the study of minimal 2-spheres in S<sup>2m</sup>because the parameters concerned are independent of each other.Particular examples are given and a classification theorem is also obtained.
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 1997年第2期175-186,共12页 数学学报(英文版)
基金 Supported by NNSF of China and NSF of Henan
关键词 Minimal immersion Holomorphic curve DIRECTRIX Minimal immersion Holomorphic curve Directrix
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