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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.

Stabilities of F-Yang-Mills fields on submanifolds