Construction of homogeneous minimal 2-spheres in complex Grassmannians |
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| Authors: | Fei Jie Jiao Xiaoxiang Xu Xiaowei |
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| Institution: | aDepartment of Mathematics, Graduate University of Chinese Academy of Sciences, Beijing 100049 China;bDepartment of Mathematics, University of Science and Technology of China, Hefei 230026, China |
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| Abstract: | 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. |
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| Keywords: | homogeneous 2-sphere Gaussian curvature Kä ahler angle Veronese sequence complex Grassmann manifold |
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