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Linéarisation symplectique en dimension 2

Published online by Cambridge University Press:  20 November 2018

Carlos Currás-Bosch
Carlos Currás-Bosch*
Affiliation:
Departament d’Algebra i Geometria, DGICYT PB96-1178 Universitat de Barcelona Gran Via 585 08007 Barcelona Spain, e-mail: curras@mat.ub.es
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Abstract

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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.

Keywords

53C1258F05symplectic manifoldLagrangian foliationaffine connection
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 44 , Issue 2 , 01 June 2001 , pp. 129 - 139
Copyright
Copyright © Canadian Mathematical Society 2001

References

Références

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