CONSTRUCTION OF HOMOGENEOUS MINIMAL 2-SPHERES IN COMPLEX GRASSMANNIANS  

作　　者：费杰 焦晓祥 许小卫 

机构地区：[1]Department of Mathematics, Graduate University of Chinese Academy of Sciences [2]Department of Mathematics, University of Science and Technology of China

出　　处：《Acta Mathematica Scientia》2011年第5期1889-1898,共10页数学物理学报（B辑英文版）

基　　金：supported by the NSFC (11071248, 11071249);supported by the Fundamental Research Funds for the Central Universities(USTC)

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, Khler 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.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, Khler 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.

关 键 词：homogeneous 2-sphere Gaussian curvature Khler angle Veronese sequence complex Grassmann manifold 

分 类 号：O186.12[理学—数学]