CONSTRUCTION OF HOMOGENEOUS MINIMAL 2-SPHERES IN COMPLEX GRASSMANNIANS

被引：0
作者：
费杰
焦晓祥
许小卫
机构：
[1] Department of Mathematics, Graduate University of Chinese Academy of Sciences
[2] Department of Mathematics, University of Science and Technology of China
来源：
ActaMathematicaScientia | 2011年 / 31卷 / 05期
基金：
中央高校基本科研业务费专项资金资助;
关键词：
homogeneous; 2-sphere; Gaussian curvature; Khler angle; Veronese sequence; complex Grassmann manifold;
D O I：
暂无
中图分类号：
O186.12 [黎曼几何];
学科分类号：
070104 ;
摘要：
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 lengths of the second fundamental forms of these homogeneous minimal 2-spheres in G(2, n + 1) by making use of Veronese sequence.
引用
收藏
页码：1889 / 1898
页数：10
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