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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
- Additional Information
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.