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The natural operators lifting 1-forms on manifolds to the bundles of \(A\)- velocities - MaRDI portal

The natural operators lifting 1-forms on manifolds to the bundles of \(A\)- velocities (Q1345716)

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scientific article; zbMATH DE number 733131
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English
The natural operators lifting 1-forms on manifolds to the bundles of \(A\)- velocities
scientific article; zbMATH DE number 733131

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    The natural operators lifting 1-forms on manifolds to the bundles of \(A\)- velocities (English)
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    24 October 1995
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    Let \(A\) denote a Weil algebra on \(p\) variables. In this paper it is shown that for any \(n\)-manifold with \(n\geq p+ 2\) the set of all natural operators \(T^*\to T^* T^ A\) is a free finitely generated module over a ring canonically dependent on \(A\).
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    fibre bundles
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    Weil algebra
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    \(n\)-manifold
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