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超二次曲面Q3中的共形极小二维球面
作者姓名:王军  钟旭
作者单位:1. 南京师范大学数学科学学院, 南京 210023; 2. 中国科学院大学数学科学学院, 北京 100049
基金项目:Supported by the NSFC(11301273),Doctoral Discipline Foundation for Young Teachers in the Higher Education Institution of Ministry of Education(20123207120002),and Natural Science Research of Jiangsu Higher Education Institutions of China(12KJD110004)
摘    要:利用调和序列研究超二次曲面Q3 中的共形极小二维球面,得到四类线性满的常曲率的极小二维球面. 尽管它们在 CP4 中都是极小的,但是它们的几何并不相同.

关 键 词:高斯曲率    超二次曲面    调和序列    Kähler角    极小二维球面
收稿时间:2013-03-15
修稿时间:2013-05-23

Conformal minimal two-spheres in Q3
Authors:WANG Jun  ZHONG Xu
Institution:1. School of Mathematics, Nanjing Normal University, Nanjing 210023, China; 2. School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China
Abstract:In this paper, we study minimal two-spheres in Q3 by harmonic sequence, and we obtain four classes of linearly full minimal two-spheres with constant curvature. Although they are also minimal in CP4, their geometric properties are different.
Keywords:Gauss curvature                                                                                                                        hyperquadric                                                                                                                        harmonic sequence                                                                                                                        Kähler angle                                                                                                                        minimal two-spheres
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