About: Combinatorial differential geometry and ideal Bianchi–Ricci identities II

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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
rdfs:seeAlso	http://emis.muni.cz/journals/AM/12-1/am2052.pdf
Description	This paper is a continuation of the paper J. Janyška and M. Markl, Combinatorial differential geometry and ideal Bianchi-Ricci identities, Advances in Geometry 11 (2011) 509-540, dealing with a general, not-necessarily torsion-free, connection. It characterizes all possible systems of generators for vector-field valued operators that depend naturally on a set of vector fields and a linear connection, describes the size of the space of such operators and proves the existence of an `ideal' basis consisting of operators with given leading terms which satisfy the (generalized) Bianchi--Ricci identities without corrections. This paper is a continuation of the paper J. Janyška and M. Markl, Combinatorial differential geometry and ideal Bianchi-Ricci identities, Advances in Geometry 11 (2011) 509-540, dealing with a general, not-necessarily torsion-free, connection. It characterizes all possible systems of generators for vector-field valued operators that depend naturally on a set of vector fields and a linear connection, describes the size of the space of such operators and proves the existence of an `ideal' basis consisting of operators with given leading terms which satisfy the (generalized) Bianchi--Ricci identities without corrections. (en)
Title	Combinatorial differential geometry and ideal Bianchi–Ricci identities II - the torsion case Combinatorial differential geometry and ideal Bianchi–Ricci identities II - the torsion case (en)
skos:prefLabel	Combinatorial differential geometry and ideal Bianchi–Ricci identities II - the torsion case Combinatorial differential geometry and ideal Bianchi–Ricci identities II - the torsion case (en)
skos:notation	RIV/00216224:14310/12:00057361!RIV13-GA0-14310___
http://linked.open...avai/predkladatel	Přírodovědecká fakulta
http://linked.open...avai/riv/aktivita	I P Z
http://linked.open...avai/riv/aktivity	I, P(GA201/08/0397), P(GA201/09/0981), Z(MSM0021622409)
http://linked.open...iv/cisloPeriodika	1
http://linked.open...vai/riv/dodaniDat	2013
http://linked.open...aciTvurceVysledku	Janyška, 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	127684
http://linked.open...ai/riv/idVysledku	RIV/00216224:14310/12:00057361
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Natural operator; linear connection; torsion; reduction theorem; graph (en)
http://linked.open.../riv/klicoveSlovo	graph torsion Natural operator linear connection reduction theorem
http://linked.open...odStatuVydavatele	CZ - Česká republika
http://linked.open...ontrolniKodProRIV	[11EF99E201B8]
http://linked.open...i/riv/nazevZdroje	Archivum Mathematicum
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	2012
http://linked.open...v/svazekPeriodika	48
http://linked.open...iv/tvurceVysledku	Markl, Martin Janyška, Josef
http://linked.open...n/vavai/riv/zamer	Matematické struktury a jejich fyzikální aplikace
issn	0044-8753
number of pages	20 (xsd:int)
http://bibframe.org/vocab/doi	10.5817/AM2012-1-61
http://localhost/t...ganizacniJednotka	14310
is http://linked.open...avai/riv/vysledek of	Combinatorial differential geometry and ideal Bianchi–Ricci identities II - the torsion case

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