Classification of conformal minimal immersions of constant curvature from S2 to Q3

被引：14

作者：

Li, Mingyan ^{[1
]}

Jiao, Xiaoxiang ^{[2
]}

He, Ling ^{[3
]}

机构：

[1] Zhengzhou Univ, Sch Math & Stat, Zhengzhou 450001, Peoples R China

[2] Univ Chinese Acad Sci, Sch Math Sci, Beijing 101408, Peoples R China

[3] Tianjin Univ, Ctr Appl Math, Tianjin 300072, Peoples R China

来源：

JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN | 2016年 / 68卷 / 02期

关键词：

conformal minimal immersion; Gauss curvature; Kahler angle; complex hyperquadric; classification; PSEUDO-HOLOMORPHIC CURVES; HARMONIC MAPS; SURFACES; CONSTRUCTION; 2-SPHERE; S2;

D O I：

10.2969/jmsj/06820863

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study geometry of conformal minimal two spheres immersed in complex hyperquadric Q(3). We firstly use Bahy-El-Dien and Wood's results to obtain some characterizations of the harmonic sequences generated by conformal minimal immersions from S-2 to G(2, 5; R). Then we give a classification theorem of linearly full totally unramified conformal minimal immersions of constant curvature from S-2 to G(2, 5; R), or equivalently, a complex hyperquadric Q(3).

引用

页码：863 / 883

页数：21

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