On integrability of infinitesimal actions
Moerdijk, Ieke ; Mrcun, Janez
arXiv, 0006042 / Harvested from arXiv
Text on arXiv
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.
Publié le : 2000-06-06
Classification:  Mathematics - Differential Geometry,  Mathematical Physics,  Mathematics - Symplectic Geometry,  58H05,  22A22 
@article{0006042,
     author = {Moerdijk, Ieke and Mrcun, Janez},
     title = {On integrability of infinitesimal actions},
     journal = {arXiv},
     volume = {2000},
     number = {0},
     year = {2000},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0006042}
}

Moerdijk, Ieke; Mrcun, Janez. On integrability of infinitesimal actions. arXiv, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/0006042/