Schwarzian derivative related to modules of differential operators on a locally projective manifold
| dc.creator | Bouarroudj, S. | |
| dc.creator | Ovsienko, V. | |
| dc.date | 1998-08-03 | |
| dc.date.accessioned | 2026-07-07T05:25:36Z | |
| dc.date.available | 2026-07-07T05:25:36Z | |
| dc.description | We introduce a 1-cocycle on the group of diffeomorphisms Diff$(M)$ of a smooth manifold $M$ endowed with a projective connection. This cocycle represents a nontrivial cohomology class of $\Diff(M)$ related to the Diff$(M)$-modules of second order linear differential operators on $M$. In the one-dimensional case, this cocycle coincides with the Schwarzian derivative, while, in the multi-dimensional case, it represents its natural and new generalization. This work is a continuation of \cite{bo} where the same problems have been treated in one-dimensional case. | |
| dc.description | 10 pages, no figures, Latex2e | |
| dc.identifier | https://arxiv.org/abs/math/9808006 | |
| dc.identifier | http://arxiv.org/abs/math/9808006 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/77238 | |
| dc.subject | Differential Geometry | |
| dc.title | Schwarzian derivative related to modules of differential operators on a locally projective manifold | |
| dc.type | text |