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The total divergence equation

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F06%3A00002642" target="_blank" >RIV/61989592:15310/06:00002642 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    The total divergence equation

  • Original language description

    The trace decomposition theory of tensor spaces, based on duality, is presented. The trace decomposition equations for tensors, symmetric in some sets of superscripts, and antisymmetric in the subscripts, are derived by means of the trace operations andappropriate symmetrizations and antisymmetrizations. Commutation relations for the corresponding linear operators are also derived. Trace decompositions of various concrete tensor spaces are discussed.

  • Czech name

    Rovnice totální divergence

  • Czech description

    Je předložena teorie rozkladů tenzorových prostorů na bázi duality. Pomocí operace stopy a vhodných symetrizací a antisymetrizací jsou odvozeny rovnice pro tenzorové rozklady pro tenzory, symetrické v některých horních indexech a antisymetrické v dolníchindexech. Jsou odvozeny komutační relace pro tyto operace. Jsou také diskutovány tenzorové rozklady konkrétních tenzorových prostorů.

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%2F06%2F0922" target="_blank" >GA201/06/0922: Global analysis and its applications</a><br>

  • Continuities

    Z - Vyzkumny zamer (s odkazem do CEZ)

Others

  • Publication year

    2006

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Lobachevskii Journal of Mathematics

  • ISSN

    1818-9962

  • e-ISSN

  • Volume of the periodical

    23

  • Issue of the periodical within the volume

    1

  • Country of publishing house

    RU - RUSSIAN FEDERATION

  • Number of pages

    23

  • Pages from-to

    71-93

  • UT code for WoS article

  • EID of the result in the Scopus database