Consecutive shifts along orbits of vector fields
| dc.creator | Maksymenko, Sergey | |
| dc.date | 2005-10-28 | |
| dc.date.accessioned | 2026-07-07T06:48:03Z | |
| dc.date.available | 2026-07-07T06:48:03Z | |
| dc.description | Let $M$ be a smooth ($C^{\infty}$) manifold, $F_1,...,F_n$ be vector fields on $M$ generating the corresponding flows $Φ_1,...,Φ_n$, and $α_1,...,α_{n}:M\to \mathbb{R}$ smooth functions. Define the following map $f:M\to M$ by $$f(x)= Φ_n (... (Φ_2 (Φ_1 (x,α_1(x)), α_2(x)), ..., α_n(x)).$$ In this note we give a necessary and sufficient condition on vector fields $F_1,...,F_n$ and smooth functions $α_1,...,α_{n}$ for $f$ to be a local diffeomorphism. It turns out that this condition is invariant with respect to the simultaneous permutation of the corresponding vector fields and functions. | |
| dc.description | 9 pages, submitted to the Proceedings of the conference FOLIATIONS-2005, Poland, Lodz | |
| dc.identifier | https://arxiv.org/abs/math/0510625 | |
| dc.identifier | http://arxiv.org/abs/math/0510625 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/103858 | |
| dc.subject | Differential Geometry | |
| dc.subject | Dynamical Systems | |
| dc.subject | 57R30 | |
| dc.title | Consecutive shifts along orbits of vector fields | |
| dc.type | text |