Classification of holomorphic spheres of constant curvature in complex Grassmann manifold G_2,5

详细信息	查看全文 | 推荐本文 |

• 作者：Jiao ; Xiaoxiang ; Peng ; Jiagui
• 关键词： 53C42 ; 53C55 ; Gauss curvature ; Nonsingular holomorphic sphere ; Veronese curve ; Classification ; Complex Grassmann manifold
• 刊名：Differential Geometry and its Applications
• 出版年：2004
• 期刊代码：18_09262245
• 类别：mt
• 出版时间：May, 2004
• 卷：20
• 期：3
• 页码：267-277
• 文件大小：189 K

摘要

In this paper, we classify all nonsingular holomorphic spheres in complex Grassmann manifolds G_2,5 with the induced constant curvatures K=4, 2, 4/3,1 and 4/5 into some classes, up to unitary equivalence, in which none of the spheres are congruent; At the same time we also prove that there does not exist the nonsingular holomorphic sphere in G_2,5 with constant curvature 2/3.