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Statements

Subject Item
n2:RIV%2F00216224%3A14310%2F08%3A00026099%21RIV10-MSM-14310___
rdf:type
n9:Vysledek skos:Concept
dcterms:description
We construct a conformally invariant vector bundle connection such that its equation of parallel transport is a first order system that gives a prolongation of the conformal Killing equation on differential forms. Parallel sections of this connection are related bijectively to solutions of the conformal Killing equation. We construct other conformally invariant connections, also giving prolongations of the conformal Killing equation, that bijectively relate solutions of the conformal Killing equation on k forms to a twisting of the conformal Killing equation on k' forms for various integers k'. These tools are used to develop a helicity raising and lowering construction in the general setting and on conformally Einstein manifolds. We construct a conformally invariant vector bundle connection such that its equation of parallel transport is a first order system that gives a prolongation of the conformal Killing equation on differential forms. Parallel sections of this connection are related bijectively to solutions of the conformal Killing equation. We construct other conformally invariant connections, also giving prolongations of the conformal Killing equation, that bijectively relate solutions of the conformal Killing equation on k forms to a twisting of the conformal Killing equation on k' forms for various integers k'. These tools are used to develop a helicity raising and lowering construction in the general setting and on conformally Einstein manifolds.
dcterms:title
The conformal Killing equation on forms; prolongations and applications The conformal Killing equation on forms; prolongations and applications
skos:prefLabel
The conformal Killing equation on forms; prolongations and applications The conformal Killing equation on forms; prolongations and applications
skos:notation
RIV/00216224:14310/08:00026099!RIV10-MSM-14310___
n3:aktivita
n7:Z n7:P
n3:aktivity
P(LC505), Z(MSM 143100009)
n3:cisloPeriodika
3
n3:dodaniDat
n12:2010
n3:domaciTvurceVysledku
n17:6901816
n3:druhVysledku
n15:J
n3:duvernostUdaju
n4:S
n3:entitaPredkladatele
n16:predkladatel
n3:idSjednocenehoVysledku
361019
n3:idVysledku
RIV/00216224:14310/08:00026099
n3:jazykVysledku
n13:eng
n3:klicovaSlova
Conformal differential geometry; Elliptic partial differential equations; Symmetry equations
n3:klicoveSlovo
n6:Conformal%20differential%20geometry n6:Symmetry%20equations n6:Elliptic%20partial%20differential%20equations
n3:kodStatuVydavatele
NL - Nizozemsko
n3:kontrolniKodProRIV
[7E2D18862166]
n3:nazevZdroje
Differential Geometry and its Applications
n3:obor
n8:BA
n3:pocetDomacichTvurcuVysledku
1
n3:pocetTvurcuVysledku
2
n3:projekt
n14:LC505
n3:rokUplatneniVysledku
n12:2008
n3:svazekPeriodika
26
n3:tvurceVysledku
Šilhan, Josef Gover, Rod
n3:wos
000256869000002
n3:zamer
n18:MSM%20143100009
s:issn
0926-2245
s:numberOfPages
22
n19:organizacniJednotka
14310