Geodesic
Stabilities of F-Yang-Mills fields on submanifolds
Archivum mathematicum, Tome 49 (2013) no. 2, pp. 125-139.

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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.
DOI : 10.5817/AM2013-2-125
Classification : 58E20
Keywords: $F$-Yang-Mills field; stability 
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Jia, Gao-Yang; Zhou, Zhen-Rong. Stabilities of F-Yang-Mills fields on submanifolds. Archivum mathematicum, Tome 49 (2013) no. 2, pp. 125-139. doi : 10.5817/AM2013-2-125. http://geodesic.mathdoc.fr/articles/10.5817/AM2013-2-125/

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