On the mapping of jet spaces.

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26110%2F10%3APU88607" target="_blank" >RIV/00216305:26110/10:PU88607 - isvavai.cz</a>

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

On the mapping of jet spaces.

Original language description

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--B"acklund theorem). We recall this classical result with a~simple proof and moreover determineexplicit 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.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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Project

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Continuities

Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year

2010

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS

ISSN

1402-9251

e-ISSN

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Volume of the periodical

17

Issue of the periodical within the volume

3

Country of publishing house

SE - SWEDEN

Number of pages

18

Pages from-to

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UT code for WoS article

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EID of the result in the Scopus database

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