复Grassmann流形中全实曲面的构造  

Construction of totally real surfaces in complex Grassmannians

作　　者：焦晓祥 辛嘉麟 JIAO Xiaoxiang;XIN Jialin(School of Mathematical Sciences, University of Chinese Academy of Sciences,Beijing 100049, China)

机构地区：[1]中国科学院大学数学科学学院,北京100049

出　　处：《中国科学院大学学报（中英文）》2021年第6期729-734,共6页Journal of University of Chinese Academy of Sciences

基　　金：the National Natural Science Foundation of China(11871450)。

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HP^(n+1)中极小子流形Q^(n+1)的商,并证明G(2,n+2)中的曲面可以水平提升到Q^(n+1)中当且仅当它是全实的。We present a construction of the complex Grassmannian G(2,n+2)as a quotient of some minimal submanifold Q^(n+1) of HP^(n+1),then show that a surface in G(2,n+2)can be horizontally lifted to Q^(n+1) if and only if it is totally real.

关 键 词：GRASSMANN流形 全实曲面 水平提升 

分 类 号：O186.1[理学—数学]