On the geometry of singular Lagrangians (Q1580289)
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scientific article; zbMATH DE number 1505929
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the geometry of singular Lagrangians |
scientific article; zbMATH DE number 1505929 |
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On the geometry of singular Lagrangians (English)
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1 May 2002
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This paper is devoted to study the natural geometry of singular Lagrangian systems, which suggests the transition principle, a prescription for what a phase trajectory must do when reaching a singular hypersurfaces \(S\). The authors observe the following fact: any Lagrangian, however degenerate it is, admits the corresponding Hamiltonian field, which is a relative one along the Legendre map.
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singular Lagrangian
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Legendre map
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Hamiltonian field
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