On the curvature of tensor product connections and covariant differentials
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F04%3A00024526" target="_blank" >RIV/00216224:14310/04:00024526 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
On the curvature of tensor product connections and covariant differentials
Original language 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.
Czech name
O křivosti tensorového součinu konexí
Czech description
Je dáno souřadnicové vyjaádření a geometrický popis křivosti tensorového součinu konexí. Je definováno kovariantní derivování geometrických polí vzhledem k tensorovému součinu konexí.
Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
<a href="/en/project/GA201%2F02%2F0225" target="_blank" >GA201/02/0225: Prolongation of geometric structures</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2004
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Supplemento di Rendiconti del Circolo Matematico di Palermo
ISSN
0009-725X
e-ISSN
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Volume of the periodical
72
Issue of the periodical within the volume
1
Country of publishing house
IT - ITALY
Number of pages
9
Pages from-to
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UT code for WoS article
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EID of the result in the Scopus database
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