About: Some properties of fiber product preserving bundle functors

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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	Let F be a bundle functor on the category of fibered manifolds with m-dimensional bases and fibered morphisms over local diffeomorphisms of proper base order r. We deduce that the r-th principal prolongation of a principal bundle is a reduction of its principal F-prolongation. In certain special cases, we solve the problem up to what extend F is determined by the underlying group homomorphism. Let F be a bundle functor on the category of fibered manifolds with m-dimensional bases and fibered morphisms over local diffeomorphisms of proper base order r. We deduce that the r-th principal prolongation of a principal bundle is a reduction of its principal F-prolongation. In certain special cases, we solve the problem up to what extend F is determined by the underlying group homomorphism. (en)
Title	Some properties of fiber product preserving bundle functors Some properties of fiber product preserving bundle functors (en)
skos:prefLabel	Some properties of fiber product preserving bundle functors Some properties of fiber product preserving bundle functors (en)
skos:notation	RIV/00216224:14310/11:00049655!RIV12-GA0-14310___
http://linked.open...avai/riv/aktivita	P Z
http://linked.open...avai/riv/aktivity	P(GA201/09/0981), Z(MSM0021622409)
http://linked.open...iv/cisloPeriodika	S1
http://linked.open...vai/riv/dodaniDat	2012
http://linked.open...aciTvurceVysledku	Kolář, Ivan
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	230634
http://linked.open...ai/riv/idVysledku	RIV/00216224:14310/11:00049655
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	principal gauge-like prolongation; Weil algebra; jet bundle (en)
http://linked.open.../riv/klicoveSlovo	Weil algebra jet bundle principal gauge-like prolongation
http://linked.open...odStatuVydavatele	NL - Nizozemsko
http://linked.open...ontrolniKodProRIV	[500496C8AE0A]
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	1 (xsd:int)
http://linked.open...vavai/riv/projekt	Global Analysis and the Geometry of Fibred Spaces
http://linked.open...UplatneniVysledku	2011
http://linked.open...v/svazekPeriodika	29
http://linked.open...iv/tvurceVysledku	Kolář, Ivan
http://linked.open...n/vavai/riv/zamer	Matematické struktury a jejich fyzikální aplikace
issn	0926-2245
number of pages	6 (xsd:int)
http://localhost/t...ganizacniJednotka	14310

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