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@article{980449,
author = {Janyška, Josef and Markl, Martin},
article_location = {Brno},
article_number = {1},
doi = {http://dx.doi.org/10.5817/AM2012-1-61},
keywords = {Natural operator; linear connection; torsion; reduction theorem; graph},
language = {eng},
issn = {0044-8753},
journal = {Archivum Mathematicum},
title = {Combinatorial differential geometry and ideal Bianchi–Ricci identities II - the torsion case},
url = {http://emis.muni.cz/journals/AM/12-1/am2052.pdf},
volume = {48},
year = {2012}
}
TY - JOUR
ID - 980449
AU - Janyška, Josef - Markl, Martin
PY - 2012
TI - Combinatorial differential geometry and ideal Bianchi–Ricci identities II - the torsion case
JF - Archivum Mathematicum
VL - 48
IS - 1
SP - 61-80
EP - 61-80
PB - Masaryk University
SN - 00448753
KW - Natural operator
KW - linear connection
KW - torsion
KW - reduction theorem
KW - graph
UR - http://emis.muni.cz/journals/AM/12-1/am2052.pdf
L2 - http://emis.muni.cz/journals/AM/12-1/am2052.pdf
N2 - 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.
ER -
JANYŠKA, Josef and Martin MARKL. Combinatorial differential geometry and ideal Bianchi–Ricci identities II - the torsion case. \textit{Archivum Mathematicum}. Brno: Masaryk University, 2012, vol.~48, No~1, p.~61-80. ISSN~0044-8753. Available from: https://dx.doi.org/10.5817/AM2012-1-61.
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