Publication result detail

Automorhisms of Curves

TRYHUK, V.; CHRASTINOVÁ, V.

Original Title

Automorhisms of Curves

English Title

Automorhisms of Curves

Type

Peer-reviewed article not indexed in WoS or Scopus

Original Abstract

The article deals with local symmetries of the infinite--order jet space of $C^{\infty}$--smooth curves in $\mathbb R^{m+1}$ $(m\geq 1).$ 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.

English abstract

The article deals with local symmetries of the infinite--order jet space of $C^{\infty}$--smooth curves in $\mathbb R^{m+1}$ $(m\geq 1).$ 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.

Keywords

infinite order jet space, automorphisms of jet space, higher order symmetries of jets

Key words in English

infinite order jet space, automorphisms of jet space, higher order symmetries of jets

Authors

TRYHUK, V.; CHRASTINOVÁ, V.

RIV year

2010

Released

02.11.2009

Publisher

Atlantis Press, WorldScientific

Location

Atlantis Press, Paris, France.

ISBN

1402-9251

Periodical

JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS

Volume

16

Number

3

State

Republic of Singapore

Pages from

259

Pages to

281

Pages count

23

URL

http://www.volny.cz/tryhuk/

BibTex

@article{BUT48048,
  author="Václav {Tryhuk} and Veronika {Chrastinová}",
  title="Automorhisms of Curves",
  journal="JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS",
  year="2009",
  volume="16",
  number="3",
  pages="259--281",
  issn="1402-9251",
  url="http://www.volny.cz/tryhuk/"
}