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The decomposition of tensor spaces with almost complex structure

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F04%3A00002408" target="_blank" >RIV/61989592:15310/04:00002408 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    The decomposition of tensor spaces with almost complex structure

  • Original language description

    Decomposition of tensors spaces with almost complex structures is a standard task in representation theory and thus in differential geometry. Our aim is to deduce explicit formulae by an elementary and straightforward approach. This decomposition is computed for tensors of the type (1,3) with symmetries of certain curvature tensors, providing an illustration of the general method on this well known exapmle.

  • Czech name

    Rozklad tenzorových prostorů a téměř komplexní strukturou

  • Czech description

    Dekompozice tenzorových prostorů se skoro komplexní strukturou je standardní úlohou v diferenciální geometrii. Cílem článku je explicitní odvození formulí elementárním přístupem. Tato dekompozice se počítá pro tenzory typu (1,3) se symetriemi jistých tenzorů, což ilustruje obecnou metodu na tomto známém příkladě.

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%2F02%2F0616" target="_blank" >GA201/02/0616: Computer-assisted research in differential geometry and applications</a><br>

  • Continuities

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

Others

  • Publication year

    2004

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Supplemento ai Rendiconti del Circolo Matematico di Palermo. Serie II.

  • ISSN

  • e-ISSN

  • Volume of the periodical

    72

  • Issue of the periodical within the volume

    1

  • Country of publishing house

    IT - ITALY

  • Number of pages

    6

  • Pages from-to

    145-150

  • UT code for WoS article

  • EID of the result in the Scopus database