| 曲面到复Grassmann流形调和映照的若干结果 |
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| 引用本文： | 吴炳烨. 曲面到复Grassmann流形调和映照的若干结果[J]. 数学学报, 2003, 46(2): 291-296. DOI: cnki:ISSN:0583-1431.0.2003-02-008 |
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| 作者姓名： | 吴炳烨 |
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| 作者单位： | 浙江师范大学数学系,金华,321004 |
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| 基金项目： | 浙江省重点学科基金资助项目 |
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| 摘 要： | 本文讨论曲面到复Grassmann流形调和映照的若干问题,得到了调和映照 为(?)'-不可约或(?)"-不可约的等价条件,给出了显式计算调和映照迷向阶的方法.
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| 关 键 词： | 调和映照 调和序列 迷向阶 广义Frenet公式 |
| 文章编号： | 0583-1431(2003)02-0291-06 |
| 修稿时间： | 2001-10-19 |
Some Results on Harmonic Maps from Surfaces into Complex Grassmann Manifolds |
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| Bing Ye WU. Some Results on Harmonic Maps from Surfaces into Complex Grassmann Manifolds[J]. Acta Mathematica Sinica, 2003, 46(2): 291-296. DOI: cnki:ISSN:0583-1431.0.2003-02-008 |
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| Authors: | Bing Ye WU |
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| Affiliation: | Bing Ye WU (Department of Mathematics, Zhejiang Normal University, Jinhua 321004, P. R. China) |
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| Abstract: | In this paper, we study some topics for harmonic maps from surfaces into complex Grassmann manifolds. We obtain an equivalent condition for harmonic maps to be '-irreducible or "-irreducible, and provide an explicit formula to calculate the isotropy order of harmonic maps. |
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| Keywords: | Harmonic map Harmonic sequence Isotropy order Generalized Frenet formulae |
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