Liouville forms in a neighborhood of an isotropic embedding
Loose, Frank
Annales de l'Institut Fourier, Tome 47 (1997), p. 257-272 / Harvested from Numdam

Une forme de Liouville sur une variété symplectique (X,ω) est un potentiel β de la forme symplectique -dβ=ω. Son centre M est β -1 (0). Nous présentons une forme normale de β dans un voisinage de M.

A Liouville form on a symplectic manifold (X,ω) is by definition a potential β of the symplectic form -dβ=ω. Its center M is given by β -1 (0). A normal form for certain Liouville forms in a neighborhood of its center is given.

@article{AIF_1997__47_1_257_0,
     author = {Loose, Frank},
     title = {Liouville forms in a neighborhood of an isotropic embedding},
     journal = {Annales de l'Institut Fourier},
     volume = {47},
     year = {1997},
     pages = {257-272},
     doi = {10.5802/aif.1566},
     mrnumber = {98c:53040},
     zbl = {0860.53019},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AIF_1997__47_1_257_0}
}
Loose, Frank. Liouville forms in a neighborhood of an isotropic embedding. Annales de l'Institut Fourier, Tome 47 (1997) pp. 257-272. doi : 10.5802/aif.1566. http://gdmltest.u-ga.fr/item/AIF_1997__47_1_257_0/

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