S^2到HP^4的共形极小浸入  

Conformal minimal immersions of S^2 into HP^4

作　　者：焦晓祥 崔洪斌 JIAO Xiaoxiang;CUI Hongbin(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）》2020年第6期721-727,共7页Journal of University of Chinese Academy of Sciences

基　　金：the NSFC(11871450)。

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CP^2n+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:CP^2n+1→HP^n做投影就得到P^n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。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 CP^2n+1,which was projected into constant curvature conformal minimal two-spheres by twistor mapπ:CP^2n+1→HP^n.They calculated the case n=2.In this work,we deal with the case n=4 and a related geometry phenomenon.

关 键 词：极小二球 高斯曲率 Veronese序列 四元数射影空间 

分 类 号：O186.1[理学—数学]