Linearization of proper groupoids
| dc.creator | Zung, Nguyen Tien | |
| dc.date | 2003-01-25 | |
| dc.date | 2003-05-15 | |
| dc.date.accessioned | 2026-07-07T04:54:41Z | |
| dc.date.available | 2026-07-07T04:54:41Z | |
| dc.description | We prove the following result, conjectured by Alan Weinstein: every smooth proper Lie groupoid near a fixed point is locally linearizable, i.e. it is locally isomorphic to the associated groupoid of a linear action of a compact Lie group. In combination with a slice theorem of Weinstein, our result implies the smooth linearizability of a proper Lie groupoid in the neighborhood of an orbit under a mild condition. | |
| dc.description | 2nd version: some misprints corrected and some comments added | |
| dc.identifier | https://arxiv.org/abs/math/0301297 | |
| dc.identifier | http://arxiv.org/abs/math/0301297 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/66355 | |
| dc.subject | Differential Geometry | |
| dc.subject | Symplectic Geometry | |
| dc.subject | 58H05, 57S15 | |
| dc.title | Linearization of proper groupoids | |
| dc.type | text |