About: The conformal Killing equation on forms; prolongations and applications

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An Entity of Type : http://linked.opendata.cz/ontology/domain/vavai/Vysledek, within Data Space : linked.opendata.cz associated with source document(s)

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
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. (en)
Title	The conformal Killing equation on forms; prolongations and applications The conformal Killing equation on forms; prolongations and applications (en)
skos:prefLabel	The conformal Killing equation on forms; prolongations and applications The conformal Killing equation on forms; prolongations and applications (en)
skos:notation	RIV/00216224:14310/08:00026099!RIV10-MSM-14310___
http://linked.open...avai/riv/aktivita	P Z
http://linked.open...avai/riv/aktivity	P(LC505), Z(MSM 143100009)
http://linked.open...iv/cisloPeriodika	3
http://linked.open...vai/riv/dodaniDat	2010
http://linked.open...aciTvurceVysledku	Šilhan, Josef
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Masarykova univerzita / Přírodovědecká fakulta
http://linked.open...dnocenehoVysledku	361019
http://linked.open...ai/riv/idVysledku	RIV/00216224:14310/08:00026099
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Conformal differential geometry; Elliptic partial differential equations; Symmetry equations (en)
http://linked.open.../riv/klicoveSlovo	Elliptic partial differential equations Symmetry equations Conformal differential geometry
http://linked.open...odStatuVydavatele	NL - Nizozemsko
http://linked.open...ontrolniKodProRIV	[7E2D18862166]
http://linked.open...i/riv/nazevZdroje	Differential Geometry and its Applications
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	2 (xsd:int)
http://linked.open...vavai/riv/projekt	Eduard Čech Center for Algebra and Geometry
http://linked.open...UplatneniVysledku	2008
http://linked.open...v/svazekPeriodika	26
http://linked.open...iv/tvurceVysledku	Gover, Rod Šilhan, Josef
http://linked.open...ain/vavai/riv/wos	000256869000002
http://linked.open...n/vavai/riv/zamer	http://linked.opendata.cz/resource/domain/vavai/zamer/MSM%20143100009
issn	0926-2245
number of pages	22 (xsd:int)
http://localhost/t...ganizacniJednotka	14310

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