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On integrability of infinitesimal actions
- American Journal of Mathematics
- Johns Hopkins University Press
- Volume 124, Number 3, June 2002
- pp. 567-593
- 10.1353/ajm.2002.0019
- Article
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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.