Complete Lie algebroid actions and the integrability of Lie algebroids
arXiv:2011.11823 · doi:10.1090/proc/15586
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.
v2: minor corrections, v1:This note is a re-elaboration of Section 4 of arXiv:1910.06164v1