About: Combinatorial differential geometry and ideal Bianchi-Ricci identities

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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 apply the graph complex approach of [8] to vector fields depending naturally on a set of vector fields and a linear symmetric connection. We characterize all possible systems of generators for such vector-field valued operators including the classical ones given by normal tensors and covariant derivatives. We also describe the size of the space of such operators and prove the existence of an 'ideal' basis consisting of operators with given leading terms which satisfy the (generalized) Bianchi-Ricci identities without the correction terms. The proofs given in this paper combine the classical methods of normal coordinates with the graph complex method. We apply the graph complex approach of [8] to vector fields depending naturally on a set of vector fields and a linear symmetric connection. We characterize all possible systems of generators for such vector-field valued operators including the classical ones given by normal tensors and covariant derivatives. We also describe the size of the space of such operators and prove the existence of an 'ideal' basis consisting of operators with given leading terms which satisfy the (generalized) Bianchi-Ricci identities without the correction terms. The proofs given in this paper combine the classical methods of normal coordinates with the graph complex method. (en)
Title	Combinatorial differential geometry and ideal Bianchi-Ricci identities Combinatorial differential geometry and ideal Bianchi-Ricci identities (en)
skos:prefLabel	Combinatorial differential geometry and ideal Bianchi-Ricci identities Combinatorial differential geometry and ideal Bianchi-Ricci identities (en)
skos:notation	RIV/67985840:_____/11:00362692!RIV12-AV0-67985840
http://linked.open...avai/predkladatel	Matematický ústav AV ČR, v. v. i.
http://linked.open...avai/riv/aktivita	P Z
http://linked.open...avai/riv/aktivity	P(GA201/08/0397), P(GA201/09/0981), Z(AV0Z10190503), Z(MSM0021622409)
http://linked.open...iv/cisloPeriodika	3
http://linked.open...vai/riv/dodaniDat	2012
http://linked.open...aciTvurceVysledku	Markl, Martin
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	Matematický ústav AV ČR, v. v. i.
http://linked.open...dnocenehoVysledku	190871
http://linked.open...ai/riv/idVysledku	RIV/67985840:_____/11:00362692
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Natural operator; linear connection; reduction theorem (en)
http://linked.open.../riv/klicoveSlovo	Natural operator linear connection reduction theorem
http://linked.open...odStatuVydavatele	DE - Spolková republika Německo
http://linked.open...ontrolniKodProRIV	[7F39DD45C270]
http://linked.open...i/riv/nazevZdroje	Advances in Geometry
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	Algebraic methods in geometry and topology Global Analysis and the Geometry of Fibred Spaces
http://linked.open...UplatneniVysledku	2011
http://linked.open...v/svazekPeriodika	11
http://linked.open...iv/tvurceVysledku	Janyška, J. Markl, Martin
http://linked.open...ain/vavai/riv/wos	000292813700009
http://linked.open...n/vavai/riv/zamer	Rozvoj a prohloubení obecných matematických poznatků a jejich užití v dalších vědních oborech a v praxi Matematické struktury a jejich fyzikální aplikace
issn	1615-715X
number of pages	32 (xsd:int)
http://bibframe.org/vocab/doi	10.1515/ADVGEOM.2011.017
is http://linked.open...avai/riv/vysledek of	Combinatorial differential geometry and ideal Bianchi-Ricci identities Combinatorial differential geometry and ideal Bianchi-Ricci identities

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