On integrability of infinitesimal actions
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 semidirect product associated to an infinitesimal action of one integrable Lie algebroid on another is integrable. This generalizes recent results of Dazord and Nistor.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 June 2000
 arXiv:
 arXiv:math/0006042
 Bibcode:
 2000math......6042M
 Keywords:

 Mathematics  Differential Geometry;
 Mathematics  Mathematical Physics;
 Mathematics  Symplectic Geometry;
 Mathematical Physics;
 58H05;
 22A22
 EPrint:
 24 pages