中国科学院研究生院学报2011,Vol.28Issue(5):573-582,10.
复格拉斯曼流形G(2,5)中的调和2-球面
Harmonic two-spheres in the complex Grassmann manifold G(2,5)*
摘要
Abstract
We use the methods of harmonic sequences and moving frames to study the harmonic two-spheres in the complex Grassmann manifold G(2,5).Through the construction of holomorphic differential forms on S2,we can simplify the moving frames along a harmonic two-sphere in G( 2,5 ).Finally,we give some upper bounds of the Gauss curvature of minimal two-spheres in G (2,5).关键词
调和2-球面/高斯曲率/全纯微分形式/调和序列Key words
harmonic two-sphere/Gaussian curvature/holomorphic differential forms/harmonicsequence分类
数理科学引用本文复制引用
李康,焦晓祥..复格拉斯曼流形G(2,5)中的调和2-球面[J].中国科学院研究生院学报,2011,28(5):573-582,10.基金项目
Supported by the NSFC (11071248),and the Knowledge Innovation Program of the Chinese Academy of Sciences (11071248)