| S2到HP4的共形极小浸入 |
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| 作者姓名： | 焦晓祥 崔洪斌 |
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| 作者单位： | 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(11871450) |
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| 摘 要： | 本工作是Chen和Jiao工作的推广。他们考虑在四元数射影空间中如何具体构造常曲率共形极小二球，关键点是从CP2n+1里的Veronese序列找到一些相关的水平浸入，然后关于扭映射π：CP2n+1→ HPn做投影就得到HPn的常曲率共形极小二球。Chen和Jiao计算了n=2的情况，本工作处理n=4的情况和一个相关的几何现象。
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| 关 键 词： | 极小二球 高斯曲率 Veronese序列 四元数射影空间 |
| 收稿时间： | 2019-04-03 |
| 修稿时间： | 2019-05-06 |
Conformal minimal immersions of S2 into HP4 |
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| Authors: | JIAO Xiaoxiang CUI Hongbin |
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| Institution: | School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China |
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| Abstract: | This work is a generalization of Chen and Jiao's work, where they considered the question of explicit construction of some conformal minimal two-spheres of constant curvature in quaternionic projective space. The crucial point was to find some horizontal immersions derived from Veronese sequence in CP2n+1, which was projected into constant curvature conformal minimal two-spheres by twistor map π:CP2n+1→HPn. They calculated the case n=2. In this work, we deal with the case n=4 and a related geometry phenomenon. |
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| Keywords: | minimal two-sphere Gaussian curvature Veronese sequence quaternionic projective space |
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