Levi-flat filling of real two-spheres in symplectic manifolds (II)

Hervé Gaussier[1]; Alexandre Sukhov[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

Annales de la faculté des sciences de Toulouse Mathématiques (2012)

  • Volume: 21, Issue: 4, page 783-816
  • ISSN: 0240-2963

Abstract

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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.

How to cite

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Gaussier, Hervé, and Sukhov, Alexandre. "Levi-flat filling of real two-spheres in symplectic manifolds (II)." Annales de la faculté des sciences de Toulouse Mathématiques 21.4 (2012): 783-816. <http://eudml.org/doc/250997>.

@article{Gaussier2012,
abstract = {We consider a compact almost complex manifold $(M,J,\omega )$ with smooth Levi convex boundary $\partial M$ and a symplectic tame form $\omega $. Suppose that $S^2$ is a real two-sphere, containing complex elliptic and hyperbolic points and generically embedded into $\partial M$. We prove a result on filling $S^2$ by holomorphic discs.},
affiliation = {Université Joseph Fourier, 100 rue des Maths, 38402 Saint Martin d’Hères, France; Université des Sciences et Technologies de Lille, Laboratoire Paul Painlevé, U.F.R. de Mathé-matique, 59655 Villeneuve d’Ascq, Cedex, France},
author = {Gaussier, Hervé, Sukhov, Alexandre},
journal = {Annales de la faculté des sciences de Toulouse Mathématiques},
keywords = {Levi-flat hypersurfaces; foliations by -holomorphic discs; 2-spheres; hyperbolic points},
language = {eng},
month = {10},
number = {4},
pages = {783-816},
publisher = {Université Paul Sabatier, Toulouse},
title = {Levi-flat filling of real two-spheres in symplectic manifolds (II)},
url = {http://eudml.org/doc/250997},
volume = {21},
year = {2012},
}

TY - JOUR
AU - Gaussier, Hervé
AU - Sukhov, Alexandre
TI - Levi-flat filling of real two-spheres in symplectic manifolds (II)
JO - Annales de la faculté des sciences de Toulouse Mathématiques
DA - 2012/10//
PB - Université Paul Sabatier, Toulouse
VL - 21
IS - 4
SP - 783
EP - 816
AB - We consider a compact almost complex manifold $(M,J,\omega )$ with smooth Levi convex boundary $\partial M$ and a symplectic tame form $\omega $. Suppose that $S^2$ is a real two-sphere, containing complex elliptic and hyperbolic points and generically embedded into $\partial M$. We prove a result on filling $S^2$ by holomorphic discs.
LA - eng
KW - Levi-flat hypersurfaces; foliations by -holomorphic discs; 2-spheres; hyperbolic points
UR - http://eudml.org/doc/250997
ER -

References

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