On the geometrical structure of Euler-Lagrange equations (Q1342856)
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scientific article; zbMATH DE number 711504
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the geometrical structure of Euler-Lagrange equations |
scientific article; zbMATH DE number 711504 |
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On the geometrical structure of Euler-Lagrange equations (English)
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15 January 1995
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It is classical that a section in a fiber bundle with Lagrangian is critical for the associated action if and only if it satisfies the Euler- Lagrange equation. This fact is reproved in the language of jet-spaces without explicit reference to a variational problem. The Poincaré- Cartan form is also discussed in this framework.
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Lagrangian
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Euler-Lagrange equation
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jet-spaces
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Poincaré-Cartan form
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0.9223783
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0.9186559
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0.9156739
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0.9054989
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