Using a general connection Γ on a fibred manifold p:Y → M and a torsion free classical linear connection ∇ on M, we distinguish some “special” fibred coordinate systems on Y, and then we construct a general connection on Fp:FY → FM for any vector bundle functor F: ℳ f → of finite order.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap99-1-9, author = {W\l odzimierz M. Mikulski}, title = {On "special" fibred coordinates for general and classical connections}, journal = {Annales Polonici Mathematici}, volume = {98}, year = {2010}, pages = {99-105}, zbl = {1217.58003}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap99-1-9} }
Włodzimierz M. Mikulski. On "special" fibred coordinates for general and classical connections. Annales Polonici Mathematici, Tome 98 (2010) pp. 99-105. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap99-1-9/