Replacing the integrand of the Yang-Mills functional by F(‖R▽‖2/2) define an F-Yang-mills functional,and hence F-Yang-Mills fields,where F is a non-negative and C∞function.The first and second variations are calculated,the gaps and instabilities of F-Yang-Mills fields on some submanifolds of the Euclidean spaces and the spheres are investigated.In the last, we studied exp-Yang-Mills fields,which is a special case of F-Yang-Mills fields.
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