On integrability of infinitesimal actions
Differential Geometry
2007-05-23 v1 Mathematical Physics
math.MP
Symplectic Geometry
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 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.
Cite
@article{arxiv.math/0006042,
title = {On integrability of infinitesimal actions},
author = {Ieke Moerdijk and Janez Mrcun},
journal= {arXiv preprint arXiv:math/0006042},
year = {2007}
}
Comments
24 pages