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Statements

Subject Item
n2:RIV%2F00216224%3A14310%2F04%3A00024526%21RIV09-GA0-14310___
rdf:type
n6:Vysledek skos:Concept
dcterms:description
We give coordinate formula and geometric description of the curvature of the tensor product connection of linear connections on vector bundles with the same base manifold. We define the covariant differential of geometric fields of certain types with respect to a pair of a linear connection on a vector bundle and a linear symmetric connection on the base manifold. We prove the generalized Bianchi identity for linear connections and we prove that the antisymmetrization of the second order covariant differential is expressed via the curvature tensors of both connections. We give coordinate formula and geometric description of the curvature of the tensor product connection of linear connections on vector bundles with the same base manifold. We define the covariant differential of geometric fields of certain types with respect to a pair of a linear connection on a vector bundle and a linear symmetric connection on the base manifold. We prove the generalized Bianchi identity for linear connections and we prove that the antisymmetrization of the second order covariant differential is expressed via the curvature tensors of both connections. Je dáno souřadnicové vyjaádření a geometrický popis křivosti tensorového součinu konexí. Je definováno kovariantní derivování geometrických polí vzhledem k tensorovému součinu konexí.
dcterms:title
O křivosti tensorového součinu konexí On the curvature of tensor product connections and covariant differentials On the curvature of tensor product connections and covariant differentials
skos:prefLabel
On the curvature of tensor product connections and covariant differentials O křivosti tensorového součinu konexí On the curvature of tensor product connections and covariant differentials
skos:notation
RIV/00216224:14310/04:00024526!RIV09-GA0-14310___
n3:aktivita
n8:P
n3:aktivity
P(GA201/02/0225)
n3:cisloPeriodika
1
n3:dodaniDat
n11:2009
n3:domaciTvurceVysledku
n4:5886856
n3:druhVysledku
n18:J
n3:duvernostUdaju
n12:S
n3:entitaPredkladatele
n9:predkladatel
n3:idSjednocenehoVysledku
577858
n3:idVysledku
RIV/00216224:14310/04:00024526
n3:jazykVysledku
n17:eng
n3:klicovaSlova
linear connection; curvature; covariant differential
n3:klicoveSlovo
n15:covariant%20differential n15:curvature n15:linear%20connection
n3:kodStatuVydavatele
IT - Italská republika
n3:kontrolniKodProRIV
[373079FB6F7A]
n3:nazevZdroje
Supplemento di Rendiconti del Circolo Matematico di Palermo
n3:obor
n14:BA
n3:pocetDomacichTvurcuVysledku
1
n3:pocetTvurcuVysledku
1
n3:projekt
n13:GA201%2F02%2F0225
n3:rokUplatneniVysledku
n11:2004
n3:svazekPeriodika
72
n3:tvurceVysledku
Janyška, Josef
s:issn
0009-725X
s:numberOfPages
9
n7:organizacniJednotka
14310