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Variational Sequences in Mechanics on Grassmann Fibrations

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17310%2F10%3AA1101048" target="_blank" >RIV/61988987:17310/10:A1101048 - isvavai.cz</a>

  • Alternative codes found

    RIV/00216224:14310/10:00073365

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Variational Sequences in Mechanics on Grassmann Fibrations

  • Original language description

    Extension of the variational sequence theory in mechanics to the first order Grassmann fibrations of 1-dimensional submanifolds is presented. The correspondence with the variational theory of parameter-invariant problems on manifolds is discussed in terms of the theory of jets (slit tangent bundles) and contact elements. In particular, the Helmholtz expressions for parameter-invariant variational problems, measuring local variationality of differential forms and differential equations, are given in thecanonical and adapted coordinates. The methods can easily be extended to higher order variational problems.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/GA201%2F09%2F0981" target="_blank" >GA201/09/0981: Global Analysis and the Geometry of Fibred Spaces</a><br>

  • Continuities

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

Others

  • Publication year

    2010

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    ACTA APPL MATH

  • ISSN

    0167-8019

  • e-ISSN

  • Volume of the periodical

    112

  • Issue of the periodical within the volume

    2

  • Country of publishing house

    DE - GERMANY

  • Number of pages

    25

  • Pages from-to

  • UT code for WoS article

    000282506300006

  • EID of the result in the Scopus database