Geodesic
Every symplectic manifold is a (linear) coadjoint orbit
Canadian mathematical bulletin, Tome 65 (2022) no. 2, pp. 345-360

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DOI

We prove that every symplectic manifold is a coadjoint orbit of the group of automorphisms of its integration bundle, acting linearly on its space of momenta, for any group of periods of the symplectic form. This result generalizes the Kirilov–Kostant–Souriau theorem when the symplectic manifold is homogeneous under the action of a Lie group and the symplectic form is integral.
DOI : 10.4153/S000843952100031X
Mots-clés : Diffeology, symplectic geometry, quantization 
Donato, Paul; Iglesias-Zemmour, Patrick. Every symplectic manifold is a (linear) coadjoint orbit. Canadian mathematical bulletin, Tome 65 (2022) no. 2, pp. 345-360. doi: 10.4153/S000843952100031X
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     title = {Every symplectic manifold is a (linear) coadjoint orbit},
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     pages = {345--360},
     year = {2022},
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     doi = {10.4153/S000843952100031X},
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