  We derive a Noether current for the Eulerian variational principle of ideal
non-barotropic magnetohydrodynamics (MHD). It was shown previously that ideal
non-barotropic MHD is mathematically equivalent to a five function field theory
with an induced geometrical structure in the case that field lines cover
surfaces and this theory can be described using a variational principle. Here
we use various symmetries of the flow to derive topological constants of motion
through the derived Noether current and discuss their implication for
non-barotropic MHD.
