We consider a vector bundle $E\rightarrow M$ and the principal bundle $PE$ of frames of $E$. Let $K$ be a principal connection on $PE$ and let $\Lambda $ be a linear connection on $M$. We classify all principal connections on $W^2PE= P^2M\times _M J^2PE$ naturally given by $K$ and $\Lambda $.
@article{127119, author = {Jan Vondra}, title = {Classification of principal connections naturally induced on $W^2PE$}, journal = {Archivum Mathematicum}, volume = {044}, year = {2008}, pages = {535-547}, zbl = {1212.53040}, mrnumber = {2501583}, language = {en}, url = {http://dml.mathdoc.fr/item/127119} }
Vondra, Jan. Classification of principal connections naturally induced on $W^2PE$. Archivum Mathematicum, Tome 044 (2008) pp. 535-547. http://gdmltest.u-ga.fr/item/127119/
Reduction theorems for principal and classical connections, to appear.
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