homogeneous symplectic manifold

homogeneous symplectic manifold
однородное симплектическое многообразие

English-russian dictionary of physics. 2013.

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  • Jean-Marie Souriau — (born in 1922) is a French mathematician, known for works in symplectic geometry, in which he is one of the pioneers. He has published several works, a treatise on relativity [Sou64b] and a treatise on mechanics: [Sou70] . He has developed the… …   Wikipedia

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  • Lagrangian Grassmannian — In mathematics, the Lagrangian Grassmannian is the smooth manifold of Lagrangian subspaces of a real symplectic vector space V. Its dimension is n(n+1)/2 (where the dimension of V is 2n). It may be identified with the homogeneous space U(n)/O(n)… …   Wikipedia

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  • Contact geometry — Contact form redirects here. For a web email form, see Form (web)#Form to email scripts. The standard contact structure on R3. Each point in R3 has a plane associated to it by the contact structure, in this case as the kernel of the one form dz − …   Wikipedia

  • Hamiltonian mechanics — is a re formulation of classical mechanics that was introduced in 1833 by Irish mathematician William Rowan Hamilton. It arose from Lagrangian mechanics, a previous re formulation of classical mechanics introduced by Joseph Louis Lagrange in 1788 …   Wikipedia

  • Categories of manifolds — In mathematics, specifically geometry and topology, there are many different notions of manifold, with more or less structure, and corresponding notions of map between manifolds , each of which yields a different category and its own… …   Wikipedia


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