Variational sequences on fibred velocity spaces

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216275%3A25530%2F12%3A39895873" target="_blank" >RIV/00216275:25530/12:39895873 - 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

Variational sequences on fibred velocity spaces

Original language description

The variational sequence theory in geometric mechanics is extended to second order velocity spaces oversmooth manifolds. New explicit formulas for the classes in this sequence, representing the variational objects such as Lagrangians,Euler-Lagrange formsand Helmholtz forms, are derived. The expressions, given in the canonical coordinates,explain the structure of trivial Lagrangians on these underlying manifolds and allow straightforward applications in theinverse problem of the calculus of variations.The differences between local and global variationality are discussed andillustrated by examples. The variational theory of parameter-invariant problems of second order is considered in terms ofjet differential groups.

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/EE2.3.30.0058" target="_blank" >EE2.3.30.0058: Development of Research Teams at the University of Pardubice</a><br>

Continuities

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

Publication year

2012

Confidentiality

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

Name of the periodical

Global Journal of Mathematical Sciences

ISSN

2164-3709

e-ISSN

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Volume of the periodical

1

Issue of the periodical within the volume

1

Country of publishing house

US - UNITED STATES

Number of pages

11

Pages from-to

77-87

UT code for WoS article

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EID of the result in the Scopus database

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