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In questo articolo, si ottengono i prolungamenti d'ordine r di un G-spazio differenziabile, nel quale tutte le orbite sono dello stesso tipo, G essendo un gruppo di Lie compatto.
In questa Nota, usando campi di vettori ed un linguaggio geometricamente invariante, si ottiene una descrizione teorica dell'algoritmo del riferimento mobile negli spazi dotati di G-struttura.
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