On integrability of infinitesimal actions

Ieke Moerdijk, Janez Mrcun
2002 American Journal of Mathematics  
Please be advised that this information was generated on 2020-07-09 and may be subject to change. arXiv:math/0006042v1 [math.DG] Abstract We use foliations and connections on principal Lie groupoid bundles to prove various integrability results for Lie algebroids. In particular, we show, under quite general assumptions, that the semi-direct product associated to an infinitesimal action of one integrable Lie algebroid on another is integrable. This generalizes recent results of Dazord and Nistor.
doi:10.1353/ajm.2002.0019 fatcat:b3p5u2sr2raphpughve2esq3ma