Some geometrical structures underlying mechanics (Q2712176)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some geometrical structures underlying mechanics |
scientific article |
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10 November 2002
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mechanics
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symplectic geometry
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Poisson manifolds
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locally conformal symplectic manifolds
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Some geometrical structures underlying mechanics (English)
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The author makes a little review on some geometrical structures underlying mechanics, in general, mathematical physics. The natural setting for classical mechanics is symplectic geometry, then he introduces two important generalizations to do ``mechanics'' of symplectic structures, Poisson structures and locally conformal symplectic structures (or more generally, Jacobi structures).NEWLINENEWLINEFor the entire collection see [Zbl 0958.00041].
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