中国科学院大学学报2020，Vol.37Issue(6)：721-727,7.DOI:10.7523/j.issn.2095-6134.2020.06.001
S2到HP4的共形极小浸入
Conformal minimal immersions of S2 into HP4
摘要
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.关键词
极小二球/高斯曲率/Veronese序列/四元数射影空间Key words
minimal two-sphere/Gaussian curvature/Veronese sequence/quaternionic projective space分类
数理科学引用本文复制引用
焦晓祥,崔洪斌..S2到HP4的共形极小浸入[J].中国科学院大学学报,2020,37(6):721-727,7.基金项目
Supported by the NSFC(11871450) （11871450）
