All natural operations transforming linear connections on the tangent bundle of a fibred manifold to connections on the 1-jet bundle are classified. It is proved that such operators form a 2-parameter family (with real coefficients).
@article{107581,
author = {Josef Jany\v ska and Marco Modugno},
title = {Relations between linear connections on the tangent bundle and connections on the jet bundle of a fibred manifold},
journal = {Archivum Mathematicum},
volume = {032},
year = {1996},
pages = {281-288},
zbl = {0881.53015},
mrnumber = {1441399},
language = {en},
url = {http://dml.mathdoc.fr/item/107581}
}
Janyška, Josef; Modugno, Marco. Relations between linear connections on the tangent bundle and connections on the jet bundle of a fibred manifold. Archivum Mathematicum, Tome 032 (1996) pp. 281-288. http://gdmltest.u-ga.fr/item/107581/
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