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Complete Lie algebroid actions and the integrability of Lie algebroids (2011.11823v2)
Published 24 Nov 2020 in math.DG
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.