Invariant vector fields and groupoids
Dynamical Systems
2014-09-10 v3
Abstract
We use the notion of isomorphism between two invariant vector fields to shed new light on the issue of linearization of an invariant vector field near a relative equilibrium. We argue that the notion is useful in understanding the passage from the space of invariant vector fields in a tube around a group orbit to the space invariant vector fields on a slice to the orbit. The notion comes from Hepworth's study of vector fields on stacks.
Keywords
Cite
@article{arxiv.1307.7733,
title = {Invariant vector fields and groupoids},
author = {Eugene Lerman},
journal= {arXiv preprint arXiv:1307.7733},
year = {2014}
}
Comments
15 pages. Comments and corrections appreciated (v2): example added (v3): partially re-written in response to referees' comments. Accepted for publication in IMRN