On the invariant variational sequences in mechanics

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19610%2F03%3A00000110" target="_blank" >RIV/47813059:19610/03:00000110 - 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 invariant variational sequences in mechanics

Original language description

The $r$-th order variational sequence is the quotient sequence of the De Rham sequence on the $r$-th jet prolongation of a fibered manifold, factored through its contact subsequence. In this paper, the first order variational sequence on a fibered manifold with one-dimensional base is considered. A new representation of all quotient spaces as some spaces of (global) forms is given. The factorization procedure is based on a modification of the interior Euler operator, used in the theory of (infinite) variational bicomplexes.

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

<a href="/en/project/GA201%2F00%2F0724" target="_blank" >GA201/00/0724: Geometric analysis</a><br>

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year

2003

Confidentiality

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

Name of the periodical

Rendiconti del Circolo Matematico di Palermo. Serie II. Supplemento

ISSN

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e-ISSN

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Volume of the periodical

2003

Issue of the periodical within the volume

71

Country of publishing house

IT - ITALY

Number of pages

6

Pages from-to

185-19

UT code for WoS article

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EID of the result in the Scopus database

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