Conformal minimal surfaces immersed into

被引：0

作者：

Chen, Xiaodong ^{[1
]}

Jiao, Xiaoxiang ^{[1
]}

机构：

[1] Univ Chinese Acad Sci, Sch Math Sci, Beijing, Peoples R China

来源：

ANNALI DI MATEMATICA PURA ED APPLICATA | 2017年 / 196卷 / 06期

关键词：

Conformal minimal surface; Quaternionic projective space; Twistor map; PROJECTIVE SPACES; HARMONIC MAPS; HP2; S2;

D O I：

10.1007/s10231-017-0653-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we want to construct conformal minimal surfaces and conformal minimal two-spheres in by the twistor map . The construction is due to Eells and Wood's conclusion about the composition of a horizontal harmonic map in 1983. Firstly, we give a characterization of horizontal holomorphic surfaces in . Under this characterization, we construct eight families of conformal minimal surfaces in . Then, we study horizontal Veronese sequences in and , and we transform the construction into solving a quadratic equation. Based on this, we get some examples of conformal minimal two-spheres in with constant curvature and .

引用

页码：2063 / 2076

页数：14

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