Bundle functors with the point property which admit prolongation of connections
W. M. Mikulski (2010)
Annales Polonici Mathematici
Similarity:
Let F:ℳ f →ℱℳ be a bundle functor with the point property F(pt) = pt, where pt is a one-point manifold. We prove that F is product preserving if and only if for any m and n there is an -canonical construction D of general connections D(Γ) on Fp:FY → FM from general connections Γ on fibred manifolds p:Y → M.