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.
GAO Zijuan
,
JIAO Xiaoxiang
. The geometry of conformal minimal surfaces in HP3[J]. Journal of University of Chinese Academy of Sciences, 2019
, 36(3)
: 299
-310
.
DOI: 10.7523/j.issn.2095-6134.2019.03.002
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