Non-existence of some canonical constructions on connections
Włodzimierz M. Mikulski (2003)
Commentationes Mathematicae Universitatis Carolinae
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For a vector bundle functor with the point property we prove that is product preserving if and only if for any and there is an -natural operator transforming connections on -dimensional fibered manifolds into connections on . For a bundle functor with some weak conditions we prove non-existence of -natural operators transforming connections on -dimensional fibered manifolds into connections on .