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Statements

Subject Item
n2:RIV%2F00216224%3A14410%2F08%3A00025215%21RIV10-GA0-14410___
rdf:type
skos:Concept n11:Vysledek
dcterms:description
The classical concept of affine locally symmetric spaces allows a generalization for various geometric structures on a smooth manifold. We remind the notion of symmetry for parabolic geometries and we summarize the known facts for |1|-graded parabolic geometries and for almost Grassmannian structures, in particular. As an application of two general constructions with parabolic geometries, we present an example of non-flat Grassmannian symmetric space. Next we observe there is a distinguished torsion-free affine connection preserving the Grassmannian structure so that, with respect to this connection, the Grassmannian symmetric space is an affine symmetric space in the classical sense. The classical concept of affine locally symmetric spaces allows a generalization for various geometric structures on a smooth manifold. We remind the notion of symmetry for parabolic geometries and we summarize the known facts for |1|-graded parabolic geometries and for almost Grassmannian structures, in particular. As an application of two general constructions with parabolic geometries, we present an example of non-flat Grassmannian symmetric space. Next we observe there is a distinguished torsion-free affine connection preserving the Grassmannian structure so that, with respect to this connection, the Grassmannian symmetric space is an affine symmetric space in the classical sense.
dcterms:title
Remarks on Grassmannian symmetric spaces Remarks on Grassmannian symmetric spaces
skos:prefLabel
Remarks on Grassmannian symmetric spaces Remarks on Grassmannian symmetric spaces
skos:notation
RIV/00216224:14410/08:00025215!RIV10-GA0-14410___
n4:aktivita
n5:P
n4:aktivity
P(GP201/06/P379), P(LC505)
n4:cisloPeriodika
5
n4:dodaniDat
n7:2010
n4:domaciTvurceVysledku
n14:5399734 n14:1329316
n4:druhVysledku
n15:J
n4:duvernostUdaju
n9:S
n4:entitaPredkladatele
n8:predkladatel
n4:idSjednocenehoVysledku
392279
n4:idVysledku
RIV/00216224:14410/08:00025215
n4:jazykVysledku
n16:eng
n4:klicovaSlova
parabolic geometries; Weyl structures; almost Grassmannian structures; symmetric spaces
n4:klicoveSlovo
n12:almost%20Grassmannian%20structures n12:symmetric%20spaces n12:Weyl%20structures n12:parabolic%20geometries
n4:kodStatuVydavatele
CZ - Česká republika
n4:kontrolniKodProRIV
[4F75D07DBCCA]
n4:nazevZdroje
Archivum Mathematicum
n4:obor
n18:BA
n4:pocetDomacichTvurcuVysledku
2
n4:pocetTvurcuVysledku
2
n4:projekt
n10:LC505 n10:GP201%2F06%2FP379
n4:rokUplatneniVysledku
n7:2008
n4:svazekPeriodika
44
n4:tvurceVysledku
Zalabová, Lenka Žádník, Vojtěch
s:issn
0044-8753
s:numberOfPages
17
n13:organizacniJednotka
14410