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NOTES ON SYMMETRIC CONFORMAL GEOMETRIES

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F60076658%3A12310%2F15%3A43890349" target="_blank" >RIV/60076658:12310/15:43890349 - isvavai.cz</a>

  • Alternative codes found

    RIV/00216224:14310/15:00081627

  • Result on the web

    <a href="http://dml.cz/bitstream/handle/10338.dmlcz/144771/ArchMathRetro_051-2015-5_5.pdf" target="_blank" >http://dml.cz/bitstream/handle/10338.dmlcz/144771/ArchMathRetro_051-2015-5_5.pdf</a>

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    NOTES ON SYMMETRIC CONFORMAL GEOMETRIES

  • Original language description

    In this article, we summarize the results on symmetric conformal geometries. We review the results following from the general theory of symmetric parabolic geometries and prove several new results for symmetric conformal geometries. In particular, we show that each symmetric conformal geometry is either locally flat or covered by a pseudo-Riemannian symmetric space, where the covering is a conformal map. We construct examples of locally flat symmetric conformal geometries that are not pseudo-Riemannian symmetric spaces.

  • 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/GBP201%2F12%2FG028" target="_blank" >GBP201/12/G028: Eduard Čech Institute for algebra, geometry and mathematical physics</a><br>

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2015

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Archivum Mathematicum

  • ISSN

    0044-8753

  • e-ISSN

  • Volume of the periodical

    51

  • Issue of the periodical within the volume

    2015

  • Country of publishing house

    CZ - CZECH REPUBLIC

  • Number of pages

    10

  • Pages from-to

    "287?296"

  • UT code for WoS article

  • EID of the result in the Scopus database