Levi-flat filling of real two-spheres in symplectic manifolds (II)
Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 21 (2012) no. 4, pp. 783-816.

On considère une variété presque complexe (M,J,ω) avec la frontière Levi convexe M et une tame forme symplectique ω. Soit S 2 une 2-sphere réelle avec des points elliptiques et hyperboliques, plongée génériquement dans M. On démontre un résultat sur le remplissage de S 2 par des disques holomorphes.

We consider a compact almost complex manifold (M,J,ω) with smooth Levi convex boundary M and a symplectic tame form ω. Suppose that S 2 is a real two-sphere, containing complex elliptic and hyperbolic points and generically embedded into M. We prove a result on filling S 2 by holomorphic discs.

DOI : 10.5802/afst.1351
Gaussier, Hervé 1 ; Sukhov, Alexandre 2

1 Université Joseph Fourier, 100 rue des Maths, 38402 Saint Martin d’Hères, France
2 Université des Sciences et Technologies de Lille, Laboratoire Paul Painlevé, U.F.R. de Mathé-matique, 59655 Villeneuve d’Ascq, Cedex, France
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     publisher = {Universit\'e Paul Sabatier, Institut de math\'ematiques},
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Gaussier, Hervé; Sukhov, Alexandre. Levi-flat filling of real two-spheres in symplectic manifolds (II). Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 21 (2012) no. 4, pp. 783-816. doi : 10.5802/afst.1351. http://archive.numdam.org/articles/10.5802/afst.1351/

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