We recall several different definitions of semiholonomic jet prolongations of a fibered manifold and use them to derive some interesting properties of prolongation of a first order connection to a third order semiholonomic connection.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc93-0-22,
author = {Petr Va\v s\'\i k},
title = {On third order semiholonomic prolongation of a connection},
journal = {Banach Center Publications},
volume = {95},
year = {2011},
pages = {271-276},
zbl = {1257.58002},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc93-0-22}
}
Petr Vašík. On third order semiholonomic prolongation of a connection. Banach Center Publications, Tome 95 (2011) pp. 271-276. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc93-0-22/