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arXiv · 2011.11823

Complete Lie algebroid actions and the integrability of Lie algebroids

D. Álvarez
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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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D. Álvarez. 2020-11-24. Complete Lie algebroid actions and the integrability of Lie algebroids. https://doi.org/10.1090/proc/15586

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