Classifications and Isolation Phenomena of Bi-Harmonic Maps and Bi-Yang-Mills Fields
Classifications and Isolation Phenomena of Bi-Harmonic Maps and Bi-Yang-Mills Fields
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DOI：
10.1285/i15900932v30n2p15
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发表时间：
2009-12
期刊：
影响因子：
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通讯作者：
Toshiyuki Ichiyama;J. Inoguchi;H. Urakawa
中科院分区：
文献类型：
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作者：
Toshiyuki Ichiyama;J. Inoguchi;H. Urakawa
给出了单位球面上所有双调和等参超曲面和复射影空间或四元数射影空间中所有双调和齐性真实的超曲面的分类。在有界几何的情形下，对Chen的猜想或Caddeo，Montaldo和Piu关于非正曲率空间的双调和映射的猜想给出了解答.给出了规范场的模拟，得到了双杨-米尔斯场的孤立现象。
Classifications of all biharmonic isoparametric hypersurfaces in the unit sphere, and all biharmonic homogeneous real hypersurfaces in the complex or quaternionic projective spaces are shown. Answers in case of bounded geometry to Chen’s conjecture or Caddeo, Montaldo and Piu’s one on biharmonic maps into a space of non positive curvature are given. Gauge field analogue is shown, indeed, the isolation phenomena of bi-Yang-Mills fields are obtained.