Complete Lie algebroid actions and the integrability of Lie algebroids

Álvarez, Daniel

doi:10.1090/proc/15586

Complete Lie algebroid actions and the integrability of Lie algebroids
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by Daniel Álvarez PDF

Proc. Amer. Math. Soc. 149 (2021), 4923-4930

Abstract:

We give a new proof of the equivalence between the existence of a complete action of a Lie algebroid on a surjective submersion and its integrability. The main tools in our approach are double Lie groupoids and multiplicative foliations; our proof relies on a simple characterization of those vacant double Lie groupoids which induce a Lie groupoid structure on their orbit spaces.

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