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On integrability of infinitesimal actions

Ieke Moerdijk·Janez Mrcun
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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.

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BibTeXRIS

Ieke Moerdijk, Janez Mrcun. 2000-06-06. On integrability of infinitesimal actions. https://arxiv.org/abs/math/0006042

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