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| ON HOLOMORPHIC CURVES OF CONSTANT CURVATURE IN THE COMPLEX GRASSMANN MANIFOLD G（2,5） | |
| 作者姓名： | 焦晓祥 彭家贵 |
| 作者单位： | Department of Mathematics;Graduate University;Chinese Academy of Sciences; |
| 基金项目： | Supported by the National Natural Science Foundation of China (10531090); Knowledge Innovation Funds of CAS (KJCX3-SYW-S03) |
| 摘 要： | In this article, it is proved that there doesn’t exist any nonsingular holomorphic sphere in complex Grassmann manifold G(2, 5) with constant curvature k = 4/7, 1/2, 4/9. Thus, from [7] it follows that if φ : S2 → G(2, 5) is a nonsingular holomorphic curve with constant curvature K, then, K = 4, 2, 4/3, 1 or 4/5. |
| 关 键 词： | Grassmann流形 全纯曲线 常曲率 作者 非奇异 |
| 修稿时间： | 2009-02-27 |
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