CONSTRUCTION OF HOMOGENEOUS MINIMAL 2-SPHERES IN COMPLEX GRASSMANNIANS

doi:10.1016/S0252-9602(11)60368-8

数学物理学报(英文版) ›› 2011, Vol. 31 ›› Issue (5): 1889-1898.doi: 10.1016/S0252-9602(11)60368-8

CONSTRUCTION OF HOMOGENEOUS MINIMAL 2-SPHERES IN COMPLEX GRASSMANNIANS

费杰|焦晓祥|许小卫

Department of Mathematics, Graduate University of Chinese Academy of Sciences, Beijing 100049 China； Department of Mathematics, University of Science and Technology of China, Hefei 230026, China

收稿日期:2010-01-21 修回日期:2010-10-15 出版日期:2011-09-20 发布日期:2011-09-20
基金资助:
Project supported by the NSFC (11071248, 11071249); the third author supported by the Fundamental Research Funds for the Central Universities(USTC).

CONSTRUCTION OF HOMOGENEOUS MINIMAL 2-SPHERES IN COMPLEX GRASSMANNIANS

FEI Jie, JIAO Xiao-Xiang, XU Xiao-Wei

Department of Mathematics, Graduate University of Chinese Academy of Sciences, Beijing 100049 China； Department of Mathematics, University of Science and Technology of China, Hefei 230026, China

Received:2010-01-21 Revised:2010-10-15 Online:2011-09-20 Published:2011-09-20
Supported by:
Project supported by the NSFC (11071248, 11071249); the third author supported by the Fundamental Research Funds for the Central Universities(USTC).

摘要/Abstract

摘要：

In this paper, we construct a class of homogeneous minimal 2-spheres in com-plex Grassmann manifolds by applying the irreducible unitary representations of SU(2). Furthermore, we compute induced metrics, Gaussian curvatures, Kähler 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, Kähler angle, Veronese se-quence, complex Grassmann manifold

Abstract:

Key words: homogeneous 2-sphere, Gaussian curvature, Kähler angle, Veronese se-quence, complex Grassmann manifold

中图分类号:

53C42

费杰, 焦晓祥, 许小卫. CONSTRUCTION OF HOMOGENEOUS MINIMAL 2-SPHERES IN COMPLEX GRASSMANNIANS[J]. 数学物理学报(英文版), 2011, 31(5): 1889-1898.

FEI Jie, JIAO Xiao-Xiang, XU Xiao-Wei. CONSTRUCTION OF HOMOGENEOUS MINIMAL 2-SPHERES IN COMPLEX GRASSMANNIANS[J]. Acta mathematica scientia,Series B, 2011, 31(5): 1889-1898.

[1]	焦晓祥, 彭家贵. ON HOLOMORPHIC CURVES OF CONSTANT CURVATURE IN THE COMPLEX GRASSMANN MANIFOLD G(2,5)[J]. 数学物理学报(英文版), 2011, 31(1): 237-248.
[2]	潮小李. CONSTRUCTION OF PLURIHARMONIC MAPS INTO COMPLEX GRASSMANN MANIFOLDS[J]. 数学物理学报(英文版), 2003, 23(2): 185-.

CONSTRUCTION OF HOMOGENEOUS MINIMAL 2-SPHERES IN COMPLEX GRASSMANNIANS

CONSTRUCTION OF HOMOGENEOUS MINIMAL 2-SPHERES IN COMPLEX GRASSMANNIANS

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