On contact equivalence of systems of ordinary differential equations
| dc.creator | Kryński, Wojciech | |
| dc.date | 2007-12-10 | |
| dc.date | 2009-05-27 | |
| dc.date.accessioned | 2026-07-07T13:18:00Z | |
| dc.date.available | 2026-07-07T13:18:00Z | |
| dc.description | We consider a problem of equivalence of generic pairs $(X,V)$ on a manifold $M$, where $V$ is a distribution of rank $m$ and $X$ is a distribution of rank one. We construct a canonical bundle with a canonical frame. We prove that two pairs are equivalent if and only if the corresponding frames are diffeomorphic. As a particular case, with $V$ integrable, we provide a new solution to the problem of contact equivalence of systems of $m$ ordinary differential equations: $x^{(k+1)}=F(t,x,x',...,x^{(k)})$, where $k>2$ or $k=2$ and $m>1$. | |
| dc.identifier | https://arxiv.org/abs/0712.1455 | |
| dc.identifier | http://arxiv.org/abs/0712.1455 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/231297 | |
| dc.subject | Classical Analysis and ODEs | |
| dc.subject | Differential Geometry | |
| dc.subject | 53A55; 34A26 | |
| dc.title | On contact equivalence of systems of ordinary differential equations | |
| dc.type | text |