| ON HOLOMORPHIC CURVES OF CONSTANT CURVATURE IN THE COMPLEX GRASSMANN MANIFOLD G（2,5） |
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| 引用本文： | 焦晓祥,彭家贵. ON HOLOMORPHIC CURVES OF CONSTANT CURVATURE IN THE COMPLEX GRASSMANN MANIFOLD G（2,5）[J]. 数学物理学报(B辑英文版), 2011, 31(1): 237-248. DOI: 10.1016/S0252-9602 |
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| 作者姓名： | 焦晓祥 彭家贵 |
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| 作者单位： | Department of Mathematics;Graduate University;Chinese Academy of Sciences; |
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| 基金项目： | Supported by the National Natural Science Foundation of China (10531090); Knowledge Innovation Funds of CAS (KJCX3-SYW-S03) |
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| 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.
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| 关 键 词： | Grassmann流形 全纯曲线 常曲率 作者 非奇异 |
ON HOLOMORPHIC CURVES OF CONSTANT CURVATURE IN THE COMPLEX GRASSMANN MANIFOLD G(2, 5) |
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| Jiao Xiaoxiang,Peng Jiagui. ON HOLOMORPHIC CURVES OF CONSTANT CURVATURE IN THE COMPLEX GRASSMANN MANIFOLD G(2, 5)[J]. Acta Mathematica Scientia, 2011, 31(1): 237-248. DOI: 10.1016/S0252-9602 |
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| Authors: | Jiao Xiaoxiang Peng Jiagui |
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| Affiliation: | Jiao Xiaoxiang Peng Jiagui Department of Mathematics,Graduate University,Chinese Academy of Sciences,Beijing 100049,China |
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| Abstract: | 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. |
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| Keywords: | Gauss curvature holomorphic curve complex Grassmann manifold |
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