Smooth Lie group actions are parametrized diffeological subgroups
Differential Geometry
2010-12-02 v1 Symplectic Geometry
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.
Cite
@article{arxiv.1012.0107,
title = {Smooth Lie group actions are parametrized diffeological subgroups},
author = {Patrick Iglesias-Zemmour and Yael Karshon},
journal= {arXiv preprint arXiv:1012.0107},
year = {2010}
}
Comments
12 pages