通过扭映射π：CP7→HP3构造出HP3中曲率为4/7，4/19，4/27的6个共形极小二维球面的例子.由于扭映射π：CP2n+1→HPn给出了CP2n+1的水平极小曲面与HPn中极小曲面的一个自然等同，利用Bolton等得出的在CPn中常曲率共形极小二维球面的结论，根据CHEN Xiaodong和JIAO Xiaoxiang给出的HPn中常曲率共形极小二维球面的一般方法，构造出HPn中的共形极小曲面的例子.
In this work, we construct six examples of conformal minimal two-spheres surfaces with constant curvatures of 4/7, 4/19, and 4/27 by the twistor map π:CP7→HP3. By the twistor map, we know that the horizontal minimal surfaces in CP2n+1 are equivalent to the minimal surfaces in HPn, and many conclusions about conformal minimal two-spheres with constant curvatures in CPn have been given. Based on Bolton's conclusion and Chen's general method to construct conformal minimal two-spheres, we get some conformal minimal two-sphere surfaces in HP3.
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