Stabilities of F-Yang-Mills fields on submanifolds

Gao-Yang Jia and Zhen-Rong Zhou

Address: Corresponding author: Zhen-Rong Zhou, Department of Mathematics, Central China Normal University, 430079, Wuhan, P.R.China


Abstract: 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.

AMSclassification: primary 58E20.

Keywords: F-Yang-Mills field, stability.

DOI: 10.5817/AM2013-2-125