This work is a generalization of Chen and Jiao's work, where they considered the question of explicit construction of some conformal minimal two-spheres of constant curvature in quaternionic projective space. The crucial point was to find some horizontal immersions derived from Veronese sequence in CP2n+1, which was projected into constant curvature conformal minimal two-spheres by twistor map π:CP2n+1→HPn. They calculated the case n=2. In this work, we deal with the case n=4 and a related geometry phenomenon.
JIAO Xiaoxiang
,
CUI Hongbin
. Conformal minimal immersions of S2 into HP4[J]. Journal of University of Chinese Academy of Sciences, 2020
, 37(6)
: 721
-727
.
DOI: 10.7523/j.issn.2095-6134.2020.06.001
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