超二次曲面Q3中的共形极小二维球面 |
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作者姓名: | 王军 钟旭 |
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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 |
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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) |
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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.
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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 |
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Authors: | WANG Jun ZHONG Xu |
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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 |
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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. |
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Keywords: | Gauss curvature hyperquadric harmonic sequence Kähler angle minimal two-spheres |
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