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We prove global internal controllability in large time for the nonlinear Schrödinger equation on some compact manifolds of dimension 3. The result is proved under some geometrical assumptions : geometric control and unique continuation. We give some examples where they are fulfilled on T 3 , S 3 and S 2 × S 1 . We prove this by two different methods both inherently interesting. The first one combines stabilization and local controllability near 0. The second one uses successive controls neardoi:10.1137/090749086 fatcat:egvylrsotjaq5dro2dnd55jsxi