Classification of Quadratic Harmonic Maps of S-7 into S-7

doi:10.1007/s12220-014-9501-6

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	Classification of Quadratic Harmonic Maps of S-7 into S-7
	Wu, Faen 1; Xiong, Yueshan 2; Zhao, Xinnuan 3
	2015-07-01
发表期刊	JOURNAL OF GEOMETRIC ANALYSIS
ISSN	1050-6926
卷号	25 期号:3 页码:1992-2010
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.
关键词	Euclidean sphere Eigenmap Orthogonal multiplication Moduli space Classification
DOI	10.1007/s12220-014-9501-6
语种	英语
资助项目	NSFC[11171016]
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000356515800026
出版者	SPRINGER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/20049
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.