| 复格拉斯曼流形G(2,5)中的调和2-球面 |
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| 作者姓名： | 李康 焦晓祥 |
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| 作者单位： | 中国科学院研究生院数学科学学院, 北京 100049 |
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| 基金项目： | Supported by the NSFC (11071248), and the Knowledge Innovation Program of the Chinese Academy of Sciences |
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| 摘 要： | 运用调和序列和活动标架研究复格拉斯曼流形G(2,5)中的调和2-球面.通过S2上全纯微分形式的构造, 简化G(2,5)中沿调和2-球面的活动标架,并且给出高斯曲率的上界估计.
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| 关 键 词： | 调和2-球面 高斯曲率 全纯微分形式 调和序列 |
| 收稿时间： | 2010-10-18 |
| 修稿时间： | 2010-12-08 |
Harmonic two-spheres in the complex Grassmann manifold G(2,5) |
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| Authors: | LI Kang JIAO Xiao-Xiang |
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| Institution: | School of Mathematical Sciences, Graduate University, Chinese Academy of Sciences, Beijing 100049, China |
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| Abstract: | We use the methods of harmonic sequences and moving frames to study the harmonic two-spheres in the complex Grassmann manifold G(2,5). Through the construction of holomorphic differential forms on S2, we can simplify the moving frames along a harmonic two-sphere in G(2,5). Finally, we give some upper bounds of the Gauss curvature of minimal two-spheres in G(2,5). |
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| Keywords: | harmonic two-sphere Gaussian curvature holomorphic differential forms harmonic sequence |
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