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Some classification problem on Weil bundles associated to monomial Weil algebras - MaRDI portal

Some classification problem on Weil bundles associated to monomial Weil algebras (Q2733959)

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scientific article; zbMATH DE number 1633279
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Some classification problem on Weil bundles associated to monomial Weil algebras
scientific article; zbMATH DE number 1633279

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    2 September 2001
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    natural bundle
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    natural operator
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    Weil bundle
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    Some classification problem on Weil bundles associated to monomial Weil algebras (English)
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    In the author's terminology, a natural \(T\)-function on a natural bundle \(FM\) is a natural operator transforming vector fields on the base \(M\) into functions on \(FM\). It has been realized recently, that in the case of the cotangent bundle of a Weil bundle \(T^*T^A=F\), the problem of finding all natural \(T\)-functions is rather complicated. The author solves the problem under the additional assumption (of rather general character) that the Weil algebra \(A\) is monomial.NEWLINENEWLINEFor the entire collection see [Zbl 0966.00031].
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