In this paper, we construct ten families of conformal minimal surfaces immersed into HP3 by the twistor map π:CP7→HP3. The construction is based on Eells and Wood's conclusion in 1983 that the projection of a horizontal harmonic map is also harmonic. Firstly, we give a characterization theorem for horizontal holomorphic surfaces in CP7. By this theorem and Eells and Wood's conclusion, we get some conformal minimal surfaces immersed into HP3 by the twisted map.
ZHANG Wenjuan
,
CHEN Xiaodong
. Construction of conformal minimal surfaces in HP3[J]. Journal of University of Chinese Academy of Sciences, 2018
, 35(4)
: 438
-443
.
DOI: 10.7523/j.issn.2095-6134.2018.04.002
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