On the developability of Lie subalgebroids |
| |
Authors: | I. Moerdijk J. Mr?un |
| |
Affiliation: | a Mathematical Institute, Utrecht University, PO Box 80.010, 3508 TA Utrecht, The Netherlands b Department of Mathematics, University of Ljubljana, Jadranska 19, 1000 Ljubljana, Slovenia |
| |
Abstract: | For a Lie groupoid G with algebroid g, one says that a subalgebroid h⊂g is developable if it can be integrated to a closed Lie subgroupoid of the universal covering groupoid of G. Under some additional hypotheses, we construct an algebroid b, depending on G and h, and prove that the developability of h is equivalent to the integrability of b. This result extends the Almeida-Molino obstruction to developability of foliations. |
| |
Keywords: | 58H05 |
本文献已被 ScienceDirect 等数据库收录! |
|