On lifting of connections to Weil bundles
Jan Kurek, Włodzimierz M. Mikulski (2012)
Annales Polonici Mathematici
Similarity:
We prove that the problem of finding all -natural operators lifting classical linear connections ∇ on m-manifolds M to classical linear connections on the Weil bundle corresponding to a p-dimensional (over ℝ) Weil algebra A is equivalent to the one of finding all -natural operators transforming classical linear connections ∇ on m-manifolds M into base-preserving fibred maps .