Acta mathematica scientia, Series B >
CONSTRUCTION OF HOMOGENEOUS MINIMAL 2-SPHERES IN COMPLEX GRASSMANNIANS
Received date: 2010-01-21
Revised date: 2010-10-15
Online 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).
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.
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 . DOI: 10.1016/S0252-9602(11)60368-8
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