TY - JOUR
T1 - Construction of homogeneous minimal 2-spheres in complex Grassmannians
AU - Jie, Fei
AU - Xiaoxiang, Jiao
AU - Xiaowei, Xu
N1 - Funding Information:
∗Received January 21, 2010; revised October 15, 2010. Project supported by the NSFC (11071248, 11071249); the third author supported by the Fundamental Research Funds for the Central Universities(USTC).
PY - 2011/9
Y1 - 2011/9
N2 - 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, 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.
AB - 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, 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.
KW - Complex Grassmann manifold
KW - Gaussian curvature
KW - Homogeneous 2-sphere
KW - Käahler angle
KW - Veronese sequence
UR - http://www.scopus.com/inward/record.url?scp=79961181878&partnerID=8YFLogxK
U2 - 10.1016/S0252-9602(11)60368-8
DO - 10.1016/S0252-9602(11)60368-8
M3 - Article
AN - SCOPUS:79961181878
SN - 0252-9602
VL - 31
SP - 1889
EP - 1898
JO - Acta Mathematica Scientia
JF - Acta Mathematica Scientia
IS - 5
ER -