Higher order reduction theorems for general linear connections
| dc.creator | Janyška, Josef | |
| dc.date | 2004-05-26 | |
| dc.date.accessioned | 2026-07-07T05:08:35Z | |
| dc.date.available | 2026-07-07T05:08:35Z | |
| dc.description | The reduction theorems for general linear and classical connections are generalized for operators with values in higher order gauge-natural bundles. We prove that natural operators depending on the $s_1$-jets of classical connections, on the $s_2$-jets of general linear connections and on the $r$-jets of tensor fields with values in gauge-natural bundles of order $k\ge 1$, $s_1+2\ge s_2$, $s_1,s_2\ge r-1\ge k-2$, can be factorized through the $(k-2)$-jets of both connections, the $(k-1)$-jets of the tensor fields and sufficiently high covariant differentials of the curvature tensors and the tensor fields. | |
| dc.identifier | https://arxiv.org/abs/math/0405488 | |
| dc.identifier | http://arxiv.org/abs/math/0405488 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/71321 | |
| dc.subject | Differential Geometry | |
| dc.subject | 53C05, 58A32, 58A20 | |
| dc.title | Higher order reduction theorems for general linear connections | |
| dc.type | text |