| 复Grassmann流形中全实曲面的构造 |
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| 引用本文： | 焦晓祥,辛嘉麟. 复Grassmann流形中全实曲面的构造[J]. 中国科学院大学学报, 2021, 38(6): 729-734. DOI: 10.7523/j.issn.2095-6134.2021.06.002 |
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| 作者姓名： | 焦晓祥 辛嘉麟 |
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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 National Natural Science Foundation of China (11871450) |
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| 摘 要： | 给出复Grassmann流形G（2，n+2）的全实曲面的一种构造方法，也就是把G（2，n+2）看作$mathbb{H}$Pn+1中极小子流形Qn+1的商，并证明G（2，n+2）中的曲面可以水平提升到Qn+1中当且仅当它是全实的。
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| 关 键 词： | Grassmann流形 全实曲面 水平提升 |
| 收稿时间： | 2019-11-20 |
| 修稿时间： | 2020-02-04 |
Construction of totally real surfaces in complex Grassmannians |
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| JIAO Xiaoxiang,XIN Jialin. Construction of totally real surfaces in complex Grassmannians[J]. , 2021, 38(6): 729-734. DOI: 10.7523/j.issn.2095-6134.2021.06.002 |
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| Authors: | JIAO Xiaoxiang XIN Jialin |
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| Affiliation: | School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China |
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| Abstract: | We present a construction of the complex Grassmannian G(2,n+2) as a quotient of some minimal submanifold Qn+1 of $mathbb{H}$Pn+1, then show that a surface in G(2,n+2) can be horizontally lifted to Qn+1 if and only if it is totally real. |
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| Keywords: | Grassmannian totally real surface horizontal lift |
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