Smooth lie group actions are parametrized diffeological subgroups

Patrick Iglesias-Zemmour, Yael Karshon

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish
Pages (from-to)731-739
Number of pages9
JournalProceedings of the American Mathematical Society
Issue number2
StatePublished - 2012
Externally publishedYes


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