| 关于局部对称极值度量的一个注记 |
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| 引用本文： | 魏靖,陈卿.关于局部对称极值度量的一个注记[J].中国科学技术大学学报,2009,39(12). |
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| 作者姓名： | 魏靖 陈卿 |
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| 作者单位： | 中国科学技术大学数学系,安徽合肥,230026 |
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| 摘 要： | HCMU度量是黎曼曲面上极值度量的一个退化情形,具有整体旋转对称性.证明了具有局部旋转对称性的极值度量一定是HCMU度量.
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| 关 键 词： | 极值度量 HCMU度量 黎曼曲面 |
A remark of locally symmetric extremal Hermitian metric |
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| WEI Jing,CHEN Qing.A remark of locally symmetric extremal Hermitian metric[J].Journal of University of Science and Technology of China,2009,39(12). |
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| Authors: | WEI Jing CHEN Qing |
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| Abstract: | HCMU metric is a special kind of extremal metric on Riemannian surface with global rotational symmetric. It was proved that an extremal metric on Riemannian surface is an HMCU metric, and provided that it is locally rotationally symmetric. |
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| Keywords: | extremal metric HCMU metric Riemannian surface |
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