On Local Integrability Conditions Of Jet Groupoids
| dc.creator | Lorenz, Arne | |
| dc.date | 2007-08-10 | |
| dc.date.accessioned | 2026-07-07T08:23:05Z | |
| dc.date.available | 2026-07-07T08:23:05Z | |
| dc.description | A Jet groupoid R_q over a manifold X is a special Lie groupoid consisting of q-jets of local diffeomorphisms from X to X. As a subbundle of the q-th order jet bundle of the trivial bundle X times X, a jet groupoid can be considered as a nonlinear system of partial differential equations (PDE). This leads to the concept of formal integrability. On the other hand, each jet groupoid is the symmetry groupoid of a geometric object, modelled as a section of a natural bundle. Using the jet groupoids, we give a local characterisation of formal integrability for transitive jet groupoids in terms of their corresponding geometric objects. | |
| dc.description | 11 pages | |
| dc.identifier | https://arxiv.org/abs/0708.1419 | |
| dc.identifier | http://arxiv.org/abs/0708.1419 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/135868 | |
| dc.subject | Differential Geometry | |
| dc.subject | 58H05, 58A20, 58A32 | |
| dc.title | On Local Integrability Conditions Of Jet Groupoids | |
| dc.type | text |