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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

Information

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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