Abstract
Given a Lagrangian system on a graded manifold, we prove that the invariance of the action under independent reparametrizations of two subsystems implies the dynamical independence of those sybsystems.
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Barducci, A., Giachetti, R. & Sorace, E. An independence theorem for Lagrangian systems on graded manifolds. Lett Math Phys 8, 105–109 (1984). https://doi.org/10.1007/BF00406392
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DOI: https://doi.org/10.1007/BF00406392