CONSTRUCTION OF HOMOGENEOUS MINIMAL 2-SPHERES IN COMPLEX GRASSMANNIANS

• 作 者: 费杰 焦晓祥 许小卫
• 机 构: DepartmentofMathematics,DepartmentofMathematics
• 出 处: 数学物理学报：B辑英文版
• 发表日期: 2011年5期
• 关键词: GRASSMANN流形 极小 不可约酉表示 第二基本形式 SU(2) 构造复杂 高斯曲率 同质化 homogeneous 2-sphere Gaussian c
• 基金项目: supported by the NSFC （11071248, 11071249）, supported by the Fundamental Research Funds for the Central Universities（USTC）

In this paper, we construct a class of homogeneous minimal 2-spheres in complex Grassmann manifolds by applying the irreducible unitary representations of SU (2). Furthermore, we compute induced metrics, Gaussian curvatures, Khler angles and the square l