Smooth Lie group actions are parametrized diffeological subgroups
classification
🧮 math.DG
math.SG
keywords
diffeologygroupimagesmoothactionactionsdiffdiffeological
read the original 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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