| JANYŠKA, Josef. Reduction theorem for general connections. Annales Polonici Mathematici. Polsko, Varšava: Instytut Matematyczny PAN, 2011, vol. 102, No 3, p. 231-254. ISSN 0066-2216. Available from: https://dx.doi.org/10.4064/ap102-3-4. |
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@article{952032,
author = {Janyška, Josef},
article_location = {Polsko, Varšava},
article_number = {3},
doi = {http://dx.doi.org/10.4064/ap102-3-4},
keywords = {General connection; classical connection; natural bundle; natural operator; covariant derivative; general covariant derivative; reduction theorem; orbit reduction theorem},
language = {eng},
issn = {0066-2216},
journal = {Annales Polonici Mathematici},
title = {Reduction theorem for general connections},
url = {http://journals.impan.gov.pl/ap/Inf/102-3-4.html},
volume = {102},
year = {2011}
}
TY - JOUR
ID - 952032
AU - Janyška, Josef
PY - 2011
TI - Reduction theorem for general connections
JF - Annales Polonici Mathematici
VL - 102
IS - 3
SP - 231-254
EP - 231-254
PB - Instytut Matematyczny PAN
SN - 00662216
KW - General connection
KW - classical connection
KW - natural bundle
KW - natural operator
KW - covariant derivative
KW - general covariant derivative
KW - reduction theorem
KW - orbit reduction theorem
UR - http://journals.impan.gov.pl/ap/Inf/102-3-4.html
L2 - http://journals.impan.gov.pl/ap/Inf/102-3-4.html
N2 - We prove the (first) reduction theorem for general and classical connections, i.e. we prove that any natural operator of a general connection on a fibered manifold and a classical connection on the base manifold can be expressed as a zero order operator of the curvature tensors of both connections and their convenient derivatives.
ER -
JANYŠKA, Josef. Reduction theorem for general connections. \textit{Annales Polonici Mathematici}. Polsko, Varšava: Instytut Matematyczny PAN, 2011, vol.~102, No~3, p.~231-254. ISSN~0066-2216. Available from: https://dx.doi.org/10.4064/ap102-3-4.
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