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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, s.~289-303. ISBN~80-86732-63-0.
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