Classifications and Isolation Phenomena of Bi-Harmonic Maps and Bi-Yang-Mills Fieds

被引：31

作者：

Ichiyama, Toshiyuki ^{[1
]}

Inoguchi, Jun-ichi ^{[2
]}

Urakawa, Hajime ^{[3
]}

机构：

[1] Asia Univ, Fac Econ, Sakai 5-24-10, Musashino, Tokyo 1808624, Japan

[2] Yamagata Univ, Fac Sci, Dept Math, Yamagata 9908560, Japan

[3] Tohoku Univ, Grad Sch Informat Sci, Div Math, Sendai, Miyagi 9808579, Japan

来源：

NOTE DI MATEMATICA | 2010年 / 30卷 / 02期

关键词：

biharmonic maps; harmonic maps; Yang-Mills fields;

D O I：

10.1285/i15900932v30n2p15

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：15 / 48

页数：34

共 29 条

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