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Higher order Grassmann fibrations and the calculus of variations

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F10%3A10216875" target="_blank" >RIV/61989592:15310/10:10216875 - isvavai.cz</a>

  • Alternative codes found

    RIV/00216224:14310/10:00073367

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Higher order Grassmann fibrations and the calculus of variations

  • Original language description

    Geometric structure of global integral variational functionals on higher order tangent bundles and Grassmann fibrations are investigated. The theory of Lepage forms is extended to these structures. The concept of a Lepage form allows us to introduce theEuler-Lagrange distribution for variational functionals, depending on velocities, in a similar way as in the calculus of variations on fibred manifolds. Integral curves of this distribution include all extremal curves of the underlying variational functional. The generators of the Euler-Lagrange distribution, defined by the Lepage forms of the first order, are found explicitly.

  • 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

    Balkan Journal of Geometry and its Applications

  • ISSN

    1224-2780

  • e-ISSN

  • Volume of the periodical

    15

  • Issue of the periodical within the volume

    1

  • Country of publishing house

    RO - ROMANIA

  • Number of pages

    12

  • Pages from-to

  • UT code for WoS article

    000276883200006

  • EID of the result in the Scopus database