Minimal two-spheres with constant curvature in the complex Grassmannians
Minimal two-spheres with constant curvature in the complex Grassmannians
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DOI:
10.1007/s11856-014-1053-8
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发表时间:
2014-04
影响因子:
1
通讯作者:
C. Peng;Xiaowei Xu
中科院分区:
文献类型:
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作者:
C. Peng;Xiaowei Xu
In this paper we use the Cartan embedding and the method of moving frames to study the geometry of 2-dimensionalSU(2)-orbits in the complex Grassmann manifoldG(k, n), and we express their geometric quantities explicitly. We obtain various minimal two-spheres inG(k, n) with constant curvature by studying the 2-dimensional orbits.