Journal of Nonlinear Mathematical Physics

Volume 4, Issue 3-4, September 1997, Pages 271 - 277

Pseudo-Stabilization of Prolonged Group Actions I. The Order Zero Case

Authors
Peter Olver
Corresponding Author
Peter Olver
Available Online 1 September 1997.
DOI
10.2991/jnmp.1997.4.3-4.3How to use a DOI?
Abstract

It is shown that every point transformation group whose prolonged orbit dimensions pseudo-stabilize at order 0 is equivalent, under a change of variables, to the elementary similarity group consisting of translations and dilatations.

Copyright
© 2006, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Download article (PDF)

Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
4 - 3-4
Pages
271 - 277
Publication Date
1997/09/01
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.2991/jnmp.1997.4.3-4.3How to use a DOI?
Copyright
© 2006, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

TY  - JOUR
AU  - Peter Olver
PY  - 1997
DA  - 1997/09/01
TI  - Pseudo-Stabilization of Prolonged Group Actions I. The Order Zero Case
JO  - Journal of Nonlinear Mathematical Physics
SP  - 271
EP  - 277
VL  - 4
IS  - 3-4
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.1997.4.3-4.3
DO  - 10.2991/jnmp.1997.4.3-4.3
ID  - Olver1997
ER  -