STABILITIES OF F-YANG-MILLS FIELDS ON SUBMANIFOLDS

被引:3
作者
Jia, Gao-Yang
Zhou, Zhen-Rong
机构
[1] Department of Mathematics, Central China Normal University, 430079, Wuhan
来源
ARCHIVUM MATHEMATICUM | 2013年 / 49卷 / 02期
关键词
F-Yang-Mills field; stability;
D O I
10.5817/AM2013-2-125
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we define an F-Yang-Mills functional, and hence F-Yang-Mills fields. The first and the second variational formulas are calculated, and the stabilities of F-Yang-Mills fields on some submanifolds of the Euclidean spaces and the spheres are investigated, and hence the theories of Yang-Mills fields are generalized in this paper.
引用
收藏
页码:125 / 139
页数:15
相关论文
共 5 条
[1]   STABILITY AND ISOLATION PHENOMENA FOR YANG-MILLS FIELDS [J].
BOURGUIGNON, JP ;
LAWSON, HB .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1981, 79 (02) :189-230
[2]   STABILITY AND GAP PHENOMENA FOR YANG-MILLS FIELDS [J].
BOURGUIGNON, JP ;
LAWSON, HB ;
SIMONS, J .
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1979, 76 (04) :1550-1553
[3]   On gap properties and instabilities of p-Yang-mills fields [J].
Chen, Qun ;
Zhou, Zhen-Rong .
CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 2007, 59 (06) :1245-1259
[4]   SOLUTIONS TO YANG-MILLS EQUATIONS THAT ARE NOT SELF-DUAL [J].
SIBNER, LM ;
SIBNER, RJ ;
UHLENBECK, K .
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1989, 86 (22) :8610-8613
[5]  
XIN YL, 1983, ACTA MATH SCI, V3, P103