Polite actions of non-compact Lie groups
Differential Geometry
2013-07-23 v2
Abstract
Based mainly on examples of interest in mechanics, we define the notion of a polite group action. One may view this as not only trying to give a more general notion than properness of a group action, but also to more fully understand the role of invariant functions in describing just about everything of interest in reduction. We show that a polite action of a symmetry group of a dynamical system admits reduction and reconstruction.
Keywords
Cite
@article{arxiv.1305.2465,
title = {Polite actions of non-compact Lie groups},
author = {Larry Bates and Jedrzej Sniatycki},
journal= {arXiv preprint arXiv:1305.2465},
year = {2013}
}
Comments
9 pages