Classification of Quadratic Harmonic Maps of S-7 into S-7
文献类型:期刊论文
作者 | Wu, Faen1; Xiong, Yueshan2; Zhao, Xinnuan3 |
刊名 | JOURNAL OF GEOMETRIC ANALYSIS
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出版日期 | 2015-07-01 |
卷号 | 25期号:3页码:1992-2010 |
关键词 | Euclidean sphere Eigenmap Orthogonal multiplication Moduli space Classification |
ISSN号 | 1050-6926 |
DOI | 10.1007/s12220-014-9501-6 |
英文摘要 | A complete classification of full quadratic harmonic maps of the seven-sphere S-7 into itself is obtained. It is shown that any full quadratic harmonic map of the seven-sphere S-7 into itself is equivalent to either the gradient map of the cubic isoparametric polynomial of E. Cartan or a map depending only on one parameter. The components of the map in the latter case are explicitly given. |
资助项目 | NSFC[11171016] |
WOS研究方向 | Mathematics |
语种 | 英语 |
WOS记录号 | WOS:000356515800026 |
出版者 | SPRINGER |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/20048] ![]() |
专题 | 中国科学院数学与系统科学研究院 |
通讯作者 | Wu, Faen |
作者单位 | 1.Beijing Jiaotong Univ, Sch Sci, Dept Math, Beijing 100044, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 3.GuangXi Univ Technol, Lushan Coll, Liuzhou 545610, Peoples R China |
推荐引用方式 GB/T 7714 | Wu, Faen,Xiong, Yueshan,Zhao, Xinnuan. Classification of Quadratic Harmonic Maps of S-7 into S-7[J]. JOURNAL OF GEOMETRIC ANALYSIS,2015,25(3):1992-2010. |
APA | Wu, Faen,Xiong, Yueshan,&Zhao, Xinnuan.(2015).Classification of Quadratic Harmonic Maps of S-7 into S-7.JOURNAL OF GEOMETRIC ANALYSIS,25(3),1992-2010. |
MLA | Wu, Faen,et al."Classification of Quadratic Harmonic Maps of S-7 into S-7".JOURNAL OF GEOMETRIC ANALYSIS 25.3(2015):1992-2010. |
入库方式: OAI收割
来源:数学与系统科学研究院
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