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 cu...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, Khler 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.展开更多
In terms of the almost complex connection and the unitary moving frame, a complex version on the theory of the nearly Khler structure in S^(6) is given. Under this framework, minimal surfaces in the nearly Khler...In terms of the almost complex connection and the unitary moving frame, a complex version on the theory of the nearly Khler structure in S^(6) is given. Under this framework, minimal surfaces in the nearly Khler S^(6) are studied. A complete classification for c omplete minimal surfaces in S^(6) with constant Khler angle and nonnegative curvature is given. Moreover, almost complex curves in S^(6) are considered.展开更多
基金supported by the NSFC (11071248, 11071249)supported by the Fundamental Research Funds for the Central Universities(USTC)
文摘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, Khler 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.
文摘In terms of the almost complex connection and the unitary moving frame, a complex version on the theory of the nearly Khler structure in S^(6) is given. Under this framework, minimal surfaces in the nearly Khler S^(6) are studied. A complete classification for c omplete minimal surfaces in S^(6) with constant Khler angle and nonnegative curvature is given. Moreover, almost complex curves in S^(6) are considered.
