Reducibility theorems for differentiable liftings in fiber bundles
Demeter Krupka (1979)
Archivum Mathematicum
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Demeter Krupka (1979)
Archivum Mathematicum
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Anton Dekrét (1985)
Mathematica Slovaca
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Demeter Krupka, Věra Mikolášová (1984)
Czechoslovak Mathematical Journal
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Kolář, Ivan, Slovák, Jan
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[For the entire collection see Zbl 0699.00032.] In this interesting paper the authors show that all natural operators transforming every projectable vector field on a fibered manifold Y into a vector field on its r-th prolongation are the constant multiples of the flow operator. Then they deduce an analogous result for the natural operators transforming every vector field on a manifold M into a vector field on any bundle of contact elements over M.