Hamilton-Jacobi diffieties (Q719404)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Hamilton-Jacobi diffieties |
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Hamilton-Jacobi diffieties (English)
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10 October 2011
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Diffieties formalize geometrically the concept of differential equations. The author introduces and studies Hamilton-Jacobi diffieties, which intrinsically are finite-dimensional manifolds with involutive vector distributions. They are considered as finite dimensional subdiffieties of a given diffiety and are investigated in relation to the field theoretic version of the geometric Hamilton-Jacobi theory.
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Hamilton--Jacobi theory
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Euler-Lagrange equations
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Lagrangian formalism
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Hamiltonian formalism
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diffieties
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geometry of PDEs
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fiber bundles
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connections
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