A new infinite order formulation of variational sequences (Q2716334)
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scientific article; zbMATH DE number 1602680
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A new infinite order formulation of variational sequences |
scientific article; zbMATH DE number 1602680 |
Statements
10 June 2001
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fibred manifold
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jet space
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infinite order jet space
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variational bicomplex
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variational sequence
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A new infinite order formulation of variational sequences (English)
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The author presents a new approach to the variational bicomplex on the infinite jet prolongation of a fibred manifold. In this approach, which is based on the theory of variational sequences on finite order jet prolongations due to \textit{D. Krupka}, the information related to the order of jets is lost, but a considerable simplification both in the exposition and in computations is obtained. The author also deduces several interesting geometric results related with the second variational formula.
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