Classification of minimal homogeneous two-spheres in the complex Grassmann manifold G(2,n)

Classification of minimal homogeneous two-spheres in the complex Grassmann manifold G(2,n)
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DOI:
10.1016/j.matpur.2014.04.008
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发表时间:
2015-02
期刊:
Journal de Mathématiques Pures et Appliquées
影响因子:
--
通讯作者:
C. Peng;Xiaowei Xu
C. Peng;Xiaowei Xu
中科院分区:
其他
文献类型:
--
作者:
C. Peng;Xiaowei Xu

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本文对复Grassmann流形G(2,n)中的极小齐次二球面进行了完全分类,并给出了它们的Gauss曲率、Kähler角和第二基本形式长度平方的显式表达式.
In this paper we completely classify the minimal homogeneous two-spheres in the complex Grassmann manifold G (2, n), we also give an explicit expression of their Gauss curvature, Kähler angle and the square of the length of the second fundamental form.