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.
Original language | English (US) |
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Pages (from-to) | 7394-7416 |
Number of pages | 23 |
Journal | International Mathematics Research Notices |
Volume | 2015 |
Issue number | 16 |
DOIs | |
State | Published - 2015 |
ASJC Scopus subject areas
- General Mathematics