Geodesic
Symplectic Submanifolds and Symplectic Ideals
Journal of Lie theory, Tome 16 (2006) no. 1, pp. 131-138
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Let $N$ be a Poisson manifold with global coordinate functions. We define a symplectic ideal of the ring $C^\infty(N)$ of smooth functions and investigate a relationship between symplectic submanifolds of $N$ and symplectic ideals of $C^\infty(N)$.
Classification : 17B63, 53D05, 53D17
Mots-clés : Poisson algebra, symplectic submanifold, symplectic ideal 
@article{JLT_2006_16_1_JLT_2006_16_1_a10,
     author = {S.-Q. Oh},
     title = {Symplectic {Submanifolds} and {Symplectic} {Ideals}},
     journal = {Journal of Lie theory},
     pages = {131--138},
     year = {2006},
     volume = {16},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/JLT_2006_16_1_JLT_2006_16_1_a10/}
}
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S.-Q. Oh. Symplectic Submanifolds and Symplectic Ideals. Journal of Lie theory, Tome 16 (2006) no. 1, pp. 131-138. http://geodesic.mathdoc.fr/item/JLT_2006_16_1_JLT_2006_16_1_a10/