中国科学院研究生院学报2011，Vol.28Issue(2)：131-140,10.
复格拉斯曼流形G(2,5)中的全纯2球
Holomorphic 2-spheres in a complex Grassmann manifold G (2,5)
摘要
Abstract
We study the linearly full holomorphic 2-spheres in a complex Grassmann manifold G(2, 5) by using harmonic sequence and moving frames. We construct some examples of homogeneous holomorphic 2-spheres in G(2, 5 ) by applying the irreducible unitary representations of SU (2). Then, we determine all linearly full degenerate holomorphic 2-spheres with constant Gaussian curvatures of 2/3 and 4/3, up to U (5) equivalence. Moreover, we prove that all nondegenerate holomorphic 2-spheres with constant Gaussian curvature of 4/3 must be U(5 ) equivalent under some conditions.关键词
全纯2球/高斯曲率/复格拉斯曼流形/调和序列Key words
holomorphic 2-sphere/Gaussian curvature/complex Grassmann manifold/harmonic sequence分类
数学引用本文复制引用
费杰,焦晓祥..复格拉斯曼流形G(2,5)中的全纯2球[J].中国科学院研究生院学报,2011,28(2):131-140,10.基金项目
Supported by the NSFC (11071248),and the Knowledge Innovation Program of the Chinese Academy of Sciences( KJCX3-SYW-S03 ) （11071248）
