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Smooth Lie group actions are parametrized diffeological subgroups

Published 1 Dec 2010 in math.DG and math.SG | (1012.0107v1)

Abstract: We show that every effective smooth action of a Lie group G on a manifold M is a diffeomorphism from G onto its image in Diff(M), where the image is equipped with the subset diffeology of the functional diffeology.

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