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@inproceedings{596625,
author = {Janyška, Josef},
address = {Praha},
booktitle = {Differential Geometry and its Application},
edition = {první},
keywords = {Gauge-natural bundle; natural operator; linear connection; classical connection; reduction theorem},
language = {eng},
location = {Praha},
isbn = {80-86732-63-0},
pages = {289-303},
publisher = {MATFYZ PRESS},
title = {Natural connections given by general linear and classical connections},
year = {2005}
}
TY - JOUR
ID - 596625
AU - Janyška, Josef
PY - 2005
TI - Natural connections given by general linear and classical connections
PB - MATFYZ PRESS
CY - Praha
SN - 8086732630
KW - Gauge-natural bundle
KW - natural operator
KW - linear connection
KW - classical connection
KW - reduction theorem
N2 - We assume a vector bundle $p:\f E\to \f M$ with a general linear connection $K$ and a classical linear connection $\Lam$ on $\f M$. We prove that all classical linear connections on the total space $\f E$ naturally given by $(\Lam, K)$ form a 15-parameter family. Further we prove that all connections on $J^1\f E$ naturally given by $(\Lam, K)$ form a 14-parameter family. Both families of connections are described geometrically.
ER -
JANYŠKA, Josef. Natural connections given by general linear and classical connections. In \textit{Differential Geometry and its Application}. první. Praha: MATFYZ PRESS, 2005, p.~289-303. ISBN~80-86732-63-0.
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