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Combinatorial differential geometry and ideal Bianchi-Ricci identities II - the torsion case
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SYSNO ASEP 0382840 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve SCOPUS Title Combinatorial differential geometry and ideal Bianchi-Ricci identities II - the torsion case Author(s) Janyška, J. (CZ)
Markl, Martin (MU-W) RID, SAI, ORCIDSource Title Archivum mathematicum. - : Masarykova univerzita - ISSN 0044-8753
Roč. 48, č. 1 (2012), s. 61-80Number of pages 20 s. Language eng - English Country CZ - Czech Republic Keywords natural operator ; linear connection ; torsion Subject RIV BA - General Mathematics R&D Projects GA201/08/0397 GA ČR - Czech Science Foundation (CSF) Institutional support MU-W - RVO:67985840 EID SCOPUS 84859993192 DOI 10.5817/AM2012-1-61 Annotation This paper is a continuation of [2], 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. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2013
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