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HOMOGENEOUS EINSTEIN METRICS ON G(2)/T

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F13%3A00107104" target="_blank" >RIV/00216224:14310/13:00107104 - isvavai.cz</a>

  • Result on the web

    <a href="https://www3.risc.jku.at/research/theorema/Groebner-Bases-Bibliography/gbbib_files/publication_2824.pdf" target="_blank" >https://www3.risc.jku.at/research/theorema/Groebner-Bases-Bibliography/gbbib_files/publication_2824.pdf</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1090/S0002-9939-2013-11682-5" target="_blank" >10.1090/S0002-9939-2013-11682-5</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    HOMOGENEOUS EINSTEIN METRICS ON G(2)/T

  • Original language description

    We construct the Einstein equation for an invariant Riemannian metric on the exceptional full flag manifold M = G(2)/T. By computing a Grobner basis for a system of polynomials on six variables we prove that this manifold admits exactly two non-Kahler invariant Einstein metrics. Thus G(2)/T turns out to be the first known example of an exceptional full flag manifold which admits a non-Kahler and not normal homogeneous Einstein metric.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    10102 - Applied mathematics

Result continuities

  • Project

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2013

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Proceedings of the American Mathematical Society

  • ISSN

    0002-9939

  • e-ISSN

    1088-6826

  • Volume of the periodical

    141

  • Issue of the periodical within the volume

    7

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    15

  • Pages from-to

    2485-2499

  • UT code for WoS article

    000326571900026

  • EID of the result in the Scopus database

    2-s2.0-84876378721