The classification of homogeneous Einstein metrics on flag manifolds with b2(M)=1
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F13%3A00067050" target="_blank" >RIV/00216224:14310/13:00067050 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.bulsci.2013.11.002" target="_blank" >http://dx.doi.org/10.1016/j.bulsci.2013.11.002</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.bulsci.2013.11.002" target="_blank" >10.1016/j.bulsci.2013.11.002</a>
Alternative languages
Result language
angličtina
Original language name
The classification of homogeneous Einstein metrics on flag manifolds with b2(M)=1
Original language description
Consider a compact connected simple Lie group G. We study homogeneous Einstein metrics for a class of compact homogeneous spaces, namely generalized flag manifolds G/H with second Betti number b2(G/H)=1. There are 8 infinite families G/H corresponding toa classical simple Lie group G and 25 exceptional flag manifolds, which all have some common geometric features; for example they admit a unique invariant complex structure which gives rise to unique invariant Kähler?Einstein metric. The most typical examples are the compact isotropy irreducible Hermitian symmetric spaces for which the Killing form is the unique homogeneous Einstein metric (which is Kähler). For non-isotropy irreducible spaces the classification of homogeneous Einstein metrics has beenrecently completed for 24 of the 26 cases. In this paper we construct the Einstein equation for the two unexamined cases, namely the flag manifolds E8/U(1)×SU(4)×SU(5) and E8/U(1)×SU(2)×SU(3)×SU(5).
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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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
Name of the periodical
Bulletin des Sciences Mathématiques
ISSN
0007-4497
e-ISSN
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Volume of the periodical
138/2014
Issue of the periodical within the volume
in press
Country of publishing house
DK - DENMARK
Number of pages
1
Pages from-to
"inpress"
UT code for WoS article
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EID of the result in the Scopus database
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