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arXiv · 1307.7733

Invariant vector fields and groupoids

Eugene Lerman
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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.

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Eugene Lerman. 2014-09-08. Invariant vector fields and groupoids. https://arxiv.org/abs/1307.7733

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