HOMOGENEOUS EINSTEIN METRICS ON G(2)/T

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>

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

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Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

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OECD FORD branch

10102 - Applied mathematics

Project

—

Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2013

Confidentiality

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

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