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geometry > differential geometry > symplectic geometry

Preferred term

symplectic geometry  

Definition

  • Symplectic geometry is a branch of differential geometry and differential topology that studies symplectic manifolds; that is, differentiable manifolds equipped with a closed, nondegenerate 2-form. Symplectic geometry has its origins in the Hamiltonian formulation of classical mechanics where the phase space of certain classical systems takes on the structure of a symplectic manifold.
    (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Symplectic_geometry)

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URI

http://data.loterre.fr/ark:/67375/PSR-P43HJWNV-X

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