Volume 17, Issue 3, September 2010, Pages 293 - 310
On the Mapping of Jet Spaces
Received 7 May 2009, Accepted 3 February 2010, Available Online 7 January 2021.
- DOI
- 10.1142/S140292511000091XHow to use a DOI?
- Keywords
- Infinite-order jet spaces; morphisms of jets; generalized contact transformations; Lie–Bäcklund theorem
- Abstract
Any locally invertible morphism of a finite-order jet space is either a prolonged point transformation or a prolonged Lie's contact transformation (the Lie–Bäcklund theorem). We recall this classical result with a simple proof and moreover determine explicit formulae even for all (not necessarily invertible) morphisms of finite-order jet spaces. Examples of generalized (higher-order) contact transformations of jets that destroy all finite-order jet subspaces are stated with comments.
- Copyright
- © 2010 The Authors. Published by Atlantis Press and Taylor & Francis
- Open Access
- This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - JOUR AU - Václav Tryhuk AU - Veronika Chrastinová PY - 2021 DA - 2021/01/07 TI - On the Mapping of Jet Spaces JO - Journal of Nonlinear Mathematical Physics SP - 293 EP - 310 VL - 17 IS - 3 SN - 1776-0852 UR - https://doi.org/10.1142/S140292511000091X DO - 10.1142/S140292511000091X ID - Tryhuk2021 ER -