Geodesic
Linéarisation symplectique en dimension 2
Canadian mathematical bulletin, Tome 44 (2001) no. 2, pp. 129-139

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DOI

In this paper the germ of neighborhood of a compact leaf in a Lagrangian foliation is symplectically classified when the compact leaf is ${{\mathbb{T}}^{2}}$ , the affine structure induced by the Lagrangian foliation on the leaf is complete, and the holonomy of ${{\mathbb{T}}^{2}}$ in the foliation linearizes. The germ of neighborhood is classified by a function, depending on one transverse coordinate, this function is related to the affine structure of the nearly compact leaves.
DOI : 10.4153/CMB-2001-017-2
Mots-clés : 53C12, 58F05, symplectic manifold, Lagrangian foliation, affine connection 
Currás-Bosch, Carlos. Linéarisation symplectique en dimension 2. Canadian mathematical bulletin, Tome 44 (2001) no. 2, pp. 129-139. doi: 10.4153/CMB-2001-017-2
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     title = {Lin\'earisation symplectique en dimension 2},
     journal = {Canadian mathematical bulletin},
     pages = {129--139},
     year = {2001},
     volume = {44},
     number = {2},
     doi = {10.4153/CMB-2001-017-2},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2001-017-2/}
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