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Foundations of higher-order variational theory on Grassmann fibrations

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F62690094%3A18470%2F14%3A50002496" target="_blank" >RIV/62690094:18470/14:50002496 - isvavai.cz</a>

  • Result on the web

    <a href="http://dx.doi.org/10.1142/S0219887814600238" target="_blank" >http://dx.doi.org/10.1142/S0219887814600238</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1142/S0219887814600238" target="_blank" >10.1142/S0219887814600238</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Foundations of higher-order variational theory on Grassmann fibrations

  • Original language description

    A setting for higher-order global variational analysis on Grassmann fibrations is presented. The integral variational principles for one-dimensional immersed submanifolds are introduced by means of differential 1-forms with specific properties, similar to the Lepage forms from the variational calculus on fibred manifolds. Prolongations of immersions and vector fields to the Grassmann fibrations are defined as a geometric tool for the variations of immersions, and the first variation formula in the infinitesimal form is derived. Its consequences, the Euler-Lagrange equations for submanifolds and the Noether theorem on invariant variational functionals are proved. Examples clarifying the meaning of the Noether theorem in the context of variational principles for submanifolds are given. (pp.1460023-1 - 1460023-27)

  • 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

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2014

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    International journal of geometric methods in modern physics

  • ISSN

    0219-8878

  • e-ISSN

  • Volume of the periodical

    11

  • Issue of the periodical within the volume

    7

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    27

  • Pages from-to

    1-27

  • UT code for WoS article

    000341012300010

  • EID of the result in the Scopus database