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Statements

Subject Item
n2:RIV%2F00216224%3A14310%2F03%3A00008190%21RIV09-GA0-14310___
rdf:type
skos:Concept n19:Vysledek
dcterms:description
Motivated by the rich geometry of conformal Riemannian manifolds and by the recent development of geometries modeled on homogeneous spaces $G/P$ with $G$ semisimple and $P$ parabolic, Weyl structures and preferred connections are introduced in this general framework. In particular, we extend the notions of scales, closed and exact Weyl connections, and Rho--tensors, we characterize the classes of such objects, and we use the results to give a new description of the Cartan bundles and connections for all parabolic geometries. Motivated by the rich geometry of conformal Riemannian manifolds and by the recent development of geometries modeled on homogeneous spaces $G/P$ with $G$ semisimple and $P$ parabolic, Weyl structures and preferred connections are introduced in this general framework. In particular, we extend the notions of scales, closed and exact Weyl connections, and Rho--tensors, we characterize the classes of such objects, and we use the results to give a new description of the Cartan bundles and connections for all parabolic geometries. Motivated by the rich geometry of conformal Riemannian manifolds and by the recent development of geometries modeled on homogeneous spaces $G/P$ with $G$ semisimple and $P$ parabolic, Weyl structures and preferred connections are introduced in this general framework. In particular, we extend the notions of scales, closed and exact Weyl connections, and Rho--tensors, we characterize the classes of such objects, and we use the results to give a new description of the Cartan bundles and connections for all parabolic geometries.
dcterms:title
Weyl structures for parabolic geometries Weyl structures for parabolic geometries Weyl structures for parabolic geometries
skos:prefLabel
Weyl structures for parabolic geometries Weyl structures for parabolic geometries Weyl structures for parabolic geometries
skos:notation
RIV/00216224:14310/03:00008190!RIV09-GA0-14310___
n3:aktivita
n9:P n9:Z
n3:aktivity
P(GA201/99/0296), Z(MSM 143100009)
n3:cisloPeriodika
1
n3:dodaniDat
n12:2009
n3:domaciTvurceVysledku
n18:3904601
n3:druhVysledku
n11:J
n3:duvernostUdaju
n13:S
n3:entitaPredkladatele
n16:predkladatel
n3:idSjednocenehoVysledku
635489
n3:idVysledku
RIV/00216224:14310/03:00008190
n3:jazykVysledku
n4:eng
n3:klicovaSlova
Cartan Connection; Parabolic Geometry; Weyl Structure; Conformal Geometry
n3:klicoveSlovo
n6:Conformal%20Geometry n6:Parabolic%20Geometry n6:Cartan%20Connection n6:Weyl%20Structure
n3:kodStatuVydavatele
DK - Dánské království
n3:kontrolniKodProRIV
[B3C27202AC5D]
n3:nazevZdroje
Mathematica Scandinavica
n3:obor
n17:BA
n3:pocetDomacichTvurcuVysledku
1
n3:pocetTvurcuVysledku
2
n3:projekt
n8:GA201%2F99%2F0296
n3:rokUplatneniVysledku
n12:2003
n3:svazekPeriodika
93
n3:tvurceVysledku
Slovák, Jan Cap, Andreas
n3:zamer
n10:MSM%20143100009
s:issn
0025-5521
s:numberOfPages
38
n15:organizacniJednotka
14310