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How many torsionless affine connections exist in general dimension?

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17310%2F16%3AA1601G4W" target="_blank" >RIV/61988987:17310/16:A1601G4W - isvavai.cz</a>

  • Alternative codes found

    RIV/00216208:11320/16:10333632

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    How many torsionless affine connections exist in general dimension?

  • Original language description

    We study the question how many real analytic torsion-free affine connections exist locally on a smooth manifold M of dimension n. The families of torsion-free connections with skew-symmetric Ricci tensor and those with symmetric Ricci tensor are determined in terms of the number of arbitrary functions of n variables.

  • 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/GA14-02476S" target="_blank" >GA14-02476S: Variations, geometry and physics</a><br>

  • Continuities

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

Others

  • Publication year

    2016

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    ADV GEOM

  • ISSN

    1615-715X

  • e-ISSN

  • Volume of the periodical

    16

  • Issue of the periodical within the volume

    1

  • Country of publishing house

    DE - GERMANY

  • Number of pages

    6

  • Pages from-to

    71-76

  • UT code for WoS article

  • EID of the result in the Scopus database