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Published in last 50 years
The purpose of this short note is to give a theorem concerning the action of the diffeomorphism group of a smooth manifold on the space of de Rham currents.
We apply De Rham's concept of “currents” to the treatment of extended singularities or discontinuities of physical fields in a coordinate independent way. In particular, we obtain a generalization of the theory of magnetic monopoles when applied to the electromagnetic field.