Lifting to the r-frame bundle by means of connections
J. Kurek, W. M. Mikulski (2010)
Annales Polonici Mathematici
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Let m and r be natural numbers and let be the rth order frame bundle functor. Let and be natural bundles, where . We describe all -natural operators A transforming sections σ of and classical linear connections ∇ on M into sections A(σ,∇) of . We apply this general classification result to many important natural bundles F and G and obtain many particular classifications.