Invariant vector fields and groupoids

Research output: Contribution to journalArticlepeer-review

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 languageEnglish (US)
Pages (from-to)7394-7416
Number of pages23
JournalInternational Mathematics Research Notices
Volume2015
Issue number16
DOIs
StatePublished - 2015

ASJC Scopus subject areas

  • Mathematics(all)

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