Journal of Nonlinear Mathematical Physics

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Volume 16, Issue 3, September 2009, Pages 259 - 281

Automorphisms of Curves

Authors
Václav Tryhuk*, Veronika Chrastinová†
Brno University of Technology, Faculty of Civil Engineering, Department of Mathematics, Veveří 331/95, 602 00 Brno, Czech Republic
Received 10 November 2008, Accepted 11 February 2009, Available Online 7 January 2021.
DOI
10.1142/S1402925109000224How to use a DOI?
Keywords
Infinite order jet space; automorphisms of jet space; higher order symmetries of jets
Abstract

The article deals with local symmetries of the infinite-order jet space of C∞-smooth curves in ℝm+1 (m ≥ 1). Transformations under consideration are the most general possible: they need not preserve the distinction between dependent and independent variables and the order of derivatives may be arbitrarily changed. Unlike the common prolonged point and Lie’s contact transformations, they destroy the finite-order jet spaces.

Copyright
© 2009 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/).

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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
16 - 3
Pages
259 - 281
Publication Date
2021/01/07
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.1142/S1402925109000224How to use a DOI?
Copyright
© 2009 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

risenwbib
TY  - JOUR
AU  - Václav Tryhuk
AU  - Veronika Chrastinová
PY  - 2021
DA  - 2021/01/07
TI  - Automorphisms of Curves
JO  - Journal of Nonlinear Mathematical Physics
SP  - 259
EP  - 281
VL  - 16
IS  - 3
SN  - 1776-0852
UR  - https://doi.org/10.1142/S1402925109000224
DO  - 10.1142/S1402925109000224
ID  - Tryhuk2021
ER  -