This HTML5 document contains 44 embedded RDF statements represented using HTML+Microdata notation.

The embedded RDF content will be recognized by any processor of HTML5 Microdata.

Namespace Prefixes

PrefixIRI
dctermshttp://purl.org/dc/terms/
n17http://localhost/temp/predkladatel/
n18http://linked.opendata.cz/resource/domain/vavai/projekt/
n4http://linked.opendata.cz/resource/domain/vavai/subjekt/
n3http://linked.opendata.cz/ontology/domain/vavai/
shttp://schema.org/
skoshttp://www.w3.org/2004/02/skos/core#
rdfshttp://www.w3.org/2000/01/rdf-schema#
n6http://linked.opendata.cz/ontology/domain/vavai/riv/
n12http://bibframe.org/vocab/
n2http://linked.opendata.cz/resource/domain/vavai/vysledek/
rdfhttp://www.w3.org/1999/02/22-rdf-syntax-ns#
n9http://linked.opendata.cz/ontology/domain/vavai/riv/klicoveSlovo/
n16http://linked.opendata.cz/ontology/domain/vavai/riv/duvernostUdaju/
xsdhhttp://www.w3.org/2001/XMLSchema#
n11http://linked.opendata.cz/ontology/domain/vavai/riv/aktivita/
n7http://linked.opendata.cz/ontology/domain/vavai/riv/jazykVysledku/
n14http://linked.opendata.cz/ontology/domain/vavai/riv/druhVysledku/
n15http://linked.opendata.cz/resource/domain/vavai/vysledek/RIV%2F00216224%3A14310%2F13%3A00067050%21RIV14-GA0-14310___/
n10http://linked.opendata.cz/ontology/domain/vavai/riv/obor/
n20http://reference.data.gov.uk/id/gregorian-year/

Statements

Subject Item
n2:RIV%2F00216224%3A14310%2F13%3A00067050%21RIV14-GA0-14310___
rdf:type
n3:Vysledek skos:Concept
rdfs:seeAlso
http://dx.doi.org/10.1016/j.bulsci.2013.11.002
dcterms: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 to a 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 been recently 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). 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 to a 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 been recently 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).
dcterms:title
The classification of homogeneous Einstein metrics on flag manifolds with b2(M)=1 The classification of homogeneous Einstein metrics on flag manifolds with b2(M)=1
skos:prefLabel
The classification of homogeneous Einstein metrics on flag manifolds with b2(M)=1 The classification of homogeneous Einstein metrics on flag manifolds with b2(M)=1
skos:notation
RIV/00216224:14310/13:00067050!RIV14-GA0-14310___
n3:predkladatel
n4:orjk%3A14310
n6:aktivita
n11:P
n6:aktivity
P(GBP201/12/G028)
n6:cisloPeriodika
in press
n6:dodaniDat
n20:2014
n6:domaciTvurceVysledku
Chrysikos, Ioannis
n6:druhVysledku
n14:J
n6:duvernostUdaju
n16:S
n6:entitaPredkladatele
n15:predkladatel
n6:idSjednocenehoVysledku
65614
n6:idVysledku
RIV/00216224:14310/13:00067050
n6:jazykVysledku
n7:eng
n6:klicovaSlova
Homogeneous Einstein metric; Flag manifold; Second Betti number; Riemannian submersion; Finiteness conjecture; Twistor fibration
n6:klicoveSlovo
n9:Twistor%20fibration n9:Homogeneous%20Einstein%20metric n9:Riemannian%20submersion n9:Second%20Betti%20number n9:Flag%20manifold n9:Finiteness%20conjecture
n6:kodStatuVydavatele
DK - Dánské království
n6:kontrolniKodProRIV
[0CDB48D0FF6B]
n6:nazevZdroje
Bulletin des Sciences Mathématiques
n6:obor
n10:BA
n6:pocetDomacichTvurcuVysledku
1
n6:pocetTvurcuVysledku
2
n6:projekt
n18:GBP201%2F12%2FG028
n6:rokUplatneniVysledku
n20:2013
n6:svazekPeriodika
138/2014
n6:tvurceVysledku
Chrysikos, Ioannis Sakane, Yusuke
s:issn
0007-4497
s:numberOfPages
1
n12:doi
10.1016/j.bulsci.2013.11.002
n17:organizacniJednotka
14310