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Geometric properties of homogeneous parabolic geometries with generalized symmetries

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F60076658%3A12310%2F16%3A43890837" target="_blank" >RIV/60076658:12310/16:43890837 - isvavai.cz</a>

  • Alternative codes found

    RIV/00216224:14310/16:00088699

  • Result on the web

    <a href="http://www.sciencedirect.com/science/article/pii/S0926224516300936" target="_blank" >http://www.sciencedirect.com/science/article/pii/S0926224516300936</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1016/j.difgeo.2016.09.008" target="_blank" >10.1016/j.difgeo.2016.09.008</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Geometric properties of homogeneous parabolic geometries with generalized symmetries

  • Original language description

    We investigate geometric properties of homogeneous parabolic geometries with generalized symmetries. We show that they can be reduced to a simpler geometric structures and interpret them explicitly. For specific types of parabolic geometries, we prove that the reductions correspond to known generalizations of symmetric spaces. In addition, we illustrate our results on an explicit example and provide a complete classification of possible non-trivial cases.

  • 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

    Result was created during the realization of more than one project. More information in the Projects tab.

  • 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

    Differential Geometry and its Applications

  • ISSN

    0926-2245

  • e-ISSN

  • Volume of the periodical

    49

  • Issue of the periodical within the volume

    DEC 2016

  • Country of publishing house

    NL - THE KINGDOM OF THE NETHERLANDS

  • Number of pages

    35

  • Pages from-to

    388-422

  • UT code for WoS article

    000389092700022

  • EID of the result in the Scopus database