Detail publikačního výsledku

Automorhisms of Curves

TRYHUK, V.; CHRASTINOVÁ, V.

Originální název

Automorhisms of Curves

Anglický název

Automorhisms of Curves

Druh

Článek recenzovaný mimo WoS a Scopus

Originální abstrakt

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.

Anglický abstrakt

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.

Klíčová slova

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

Klíčová slova v angličtině

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

Autoři

TRYHUK, V.; CHRASTINOVÁ, V.

Rok RIV

2010

Vydáno

02.11.2009

Nakladatel

Atlantis Press, WorldScientific

Místo

Atlantis Press, Paris, France.

ISSN

1402-9251

Periodikum

JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS

Svazek

16

Číslo

3

Stát

Singapurská republika

Strany od

259

Strany do

281

Strany počet

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/"
}