Mathematics – Differential Geometry
Scientific paper
2000-06-06
Amer. J. Math. 124 (2002) 567-593
Mathematics
Differential Geometry
24 pages
Scientific paper
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.
Moerdijk Ieke
Mrcun Janez
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