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.
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 .
@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}, pages = {257--272}, publisher = {Association des Annales de l{\textquoteright}institut Fourier}, volume = {47}, number = {1}, year = {1997}, doi = {10.5802/aif.1566}, zbl = {0860.53019}, mrnumber = {98c:53040}, language = {en}, url = {https://aif.centre-mersenne.org/articles/10.5802/aif.1566/} }
TY - JOUR AU - Loose, Frank TI - Liouville forms in a neighborhood of an isotropic embedding JO - Annales de l'Institut Fourier PY - 1997 SP - 257 EP - 272 VL - 47 IS - 1 PB - Association des Annales de l’institut Fourier UR - https://aif.centre-mersenne.org/articles/10.5802/aif.1566/ DO - 10.5802/aif.1566 LA - en ID - AIF_1997__47_1_257_0 ER -
%0 Journal Article %A Loose, Frank %T Liouville forms in a neighborhood of an isotropic embedding %J Annales de l'Institut Fourier %D 1997 %P 257-272 %V 47 %N 1 %I Association des Annales de l’institut Fourier %U https://aif.centre-mersenne.org/articles/10.5802/aif.1566/ %R 10.5802/aif.1566 %G en %F AIF_1997__47_1_257_0
Loose, Frank. Liouville forms in a neighborhood of an isotropic embedding. Annales de l'Institut Fourier, Volume 47 (1997) no. 1, pp. 257-272. doi : 10.5802/aif.1566. https://aif.centre-mersenne.org/articles/10.5802/aif.1566/
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