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Lorentz invariant scalar functions of the magnetic field are defined in anideal relativistic plasma. These invariants are advected by the plasma fluidmotion and play the role of the {\it potential magnetic field} introduced by R.Hide in Ann. Geophys. 1, 59 (1983) on the line of Ertel's theorem. From theseinvariants we recover the Cauchy conditions for the magnetic field componentsin the Eulerian-Lagrangian variable mapping. In addition the adopted procedureallows us to formulate Alfv\`en theorem for the conservation of the magneticflux through a surface comoving with the plasma in a Lorentz invariant form.

Lorentz invariant "potential magnetic field" and magnetic flux conservation in an ideal relativistic plasma