复格拉斯曼流形G(2,5)中的调和2-球面(英文)  

Harmonic two-spheres in the complex Grassmann manifold G(2,5)

作　　者：李康[1] 焦晓祥[1] 

机构地区：[1]中国科学院研究生院数学科学学院,北京100049

出　　处：《中国科学院研究生院学报》2011年第5期573-582,共10页Journal of the Graduate School of the Chinese Academy of Sciences

基　　金：Supported by the NSFC(11071248);the Knowledge Innovation Program of the Chinese Academy of Sciences

摘　　要：运用调和序列和活动标架研究复格拉斯曼流形G(2,5)中的调和2-球面.通过S2上全纯微分形式的构造,简化G(2,5)中沿调和2-球面的活动标架,并且给出高斯曲率的上界估计.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 S^2,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 

分 类 号：O186[理学—数学]