Une forme de Liouville sur une variété symplectique est un potentiel de la forme symplectique . Son centre est . Nous présentons une forme normale de dans un voisinage de .
A Liouville form on a symplectic manifold is by definition a potential of the symplectic form . Its center is given by . 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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