Gaps of F-Yang-Mills fields on submanifolds

Abstract

Replacing the integrand of the Yang-Mills functional by F (||R^∇||²/2), we define an F-Yang-Mills functional, and hence F-Yang-Mills fields, where F is a non-negative function. The gaps of F-Yang-Mills fields on some submanifolds of the Euclidean spaces and the spheres are investegated in this paper.