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Homogeneous Einstein Metrics on Generalized Flag Manifolds with G_2-type T-Roots.

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F13%3A00067053" target="_blank" >RIV/00216224:14310/13:00067053 - isvavai.cz</a>

  • Result on the web

    <a href="http://www.worldscientific.com/worldscibooks/10.1142/8929#t=aboutBook" target="_blank" >http://www.worldscientific.com/worldscibooks/10.1142/8929#t=aboutBook</a>

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Homogeneous Einstein Metrics on Generalized Flag Manifolds with G_2-type T-Roots.

  • Original language description

    We construct the Einstein equation for an invariant Riemannian metric on generalized flag manifolds G/K with G2-type t-roots. By computing a Gr¨obner basis for a system of polynomials on six variables, we prove that such a generalized flag manifold G/K,which is not the full flag manifold G2/T, admits exactly one invariant Kahler Einstein metric and six non Kahler invariant Einstein metrics up to isometry and scalar.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • 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

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

Others

  • Publication year

    2013

  • Confidentiality

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

Data specific for result type

  • Article name in the collection

    Prospects of Differential Geometry and Its Related Fields Proceedings of the 3rd International Colloquium on Differential Geometry and Its Related Fields

  • ISBN

    9789814541824

  • ISSN

  • e-ISSN

  • Number of pages

    24

  • Pages from-to

    15-38

  • Publisher name

    World Scientific Publishing Company

  • Place of publication

    Veliko Tarnovo,

  • Event location

    Veliko Tarnovo,

  • Event date

    Jan 1, 2013

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article