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arXiv · 1012.0107

Smooth Lie group actions are parametrized diffeological subgroups

Patrick Iglesias-Zemmour·Yael Karshon
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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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BibTeXRIS

Patrick Iglesias-Zemmour, Yael Karshon. 2010-12-01. Smooth Lie group actions are parametrized diffeological subgroups. https://arxiv.org/abs/1012.0107

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