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Classification of Quadratic Harmonic Maps of S-7 into S-7
Wu, Faen1; Xiong, Yueshan2; Zhao, Xinnuan3
2015-07-01
Source PublicationJOURNAL OF GEOMETRIC ANALYSIS
ISSN1050-6926
Volume25Issue:3Pages:1992-2010
AbstractA 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.
KeywordEuclidean sphere Eigenmap Orthogonal multiplication Moduli space Classification
DOI10.1007/s12220-014-9501-6
Language英语
Funding ProjectNSFC[11171016]
WOS Research AreaMathematics
WOS SubjectMathematics
WOS IDWOS:000356515800026
PublisherSPRINGER
Citation statistics
Cited Times:2[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/20049
Collection中国科学院数学与系统科学研究院
Affiliation1.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
Recommended Citation
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.
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