On the Laws of Electromagnetic Induction

The Faraday-Ampère laws of electro-magnetic induction are formu-lated in terms of even and odd differential forms, taking in due account the body motion in terms of Lie time-derivatives. It is shown that covariance of Lie derivatives with respect to arbitrary relative motions, and Galilei invariance of the electro-magnetic fields, imply Galilei invariance of the in-duction laws, contrary to most claims in literature. A noteworthy outcome of the theory is that the so called Lorentz force on a charged particle is not an additional law of electromagnetism, but rather, when corrected by a factor one-half, a non-invariant contribution to the electric field evaluated, according to Faraday law, by an observer performing tests on a translating charged body crossing a region of uniform magnetic field. The formulation of the laws of electromagnetism in the four dimensional classical space-time, by stating the observer-dependent splitting for bodies in motions, provides a proof of Galilei invariance of electric and magnetic fields