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Si studia l'indicatrice di uno spazio di Finsler indefinito con segnatura di Lorentz e si mostra che, per spazi di dimensione , la parte positiva dell'indinatrice possiede una sola componente. Si prova poi che i moti di un tale spazio costituiscono un gruppo di Lie e si assegnano condizioni sufficienti affinchè il gruppo di isotropia ammetta una rappresentazione fedele quale sottogruppo del gruppo di Lorentz. Per eventuali applicazioni alla fisica dei risultati qui ottenuti cfr. [4].
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