Liouville forms in a neighborhood of an isotropic embedding

Loose, Frank

doi:10.5802/aif.1566

Loose, Frank

Annales de l'Institut Fourier, Tome 47 (1997) no. 1, pp. 257-272.

Résumé
Abstract

Une forme de Liouville sur une variété symplectique $(X, ω)$ est un potentiel $β$ de la forme symplectique $- d β = ω$ . 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 $- d β = ω$ . Its center $M$ is given by $β^{- 1} (0)$ . A normal form for certain Liouville forms in a neighborhood of its center is given.

MR Zbl

DOI : 10.5802/aif.1566

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     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},
     mrnumber = {98c:53040},
     zbl = {0860.53019},
     language = {en},
     url = {http://www.numdam.org/articles/10.5802/aif.1566/}
}

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Loose, Frank. Liouville forms in a neighborhood of an isotropic embedding. Annales de l'Institut Fourier, Tome 47 (1997) no. 1, pp. 257-272. doi : 10.5802/aif.1566. http://www.numdam.org/articles/10.5802/aif.1566/

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