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Invariant vector fields and groupoids

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 نشر من قبل Eugene Lerman
 تاريخ النشر 2013
  مجال البحث
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 تأليف Eugene Lerman




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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 Hepworths study of vector fields on stacks.

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