We consider a compact almost complex manifold with smooth Levi convex boundary and a symplectic tame form . Suppose that is a real two-sphere, containing complex elliptic and hyperbolic points and generically embedded into . We prove a result on filling by holomorphic discs.
On considère une variété presque complexe avec la frontière Levi convexe et une tame forme symplectique . Soit une 2-sphere réelle avec des points elliptiques et hyperboliques, plongée génériquement dans . On démontre un résultat sur le remplissage de par des disques holomorphes.
@article{AFST_2012_6_21_4_783_0,
author = {Herv\'e Gaussier and Alexandre Sukhov},
title = {Levi-flat filling of real two-spheres in symplectic manifolds {(II)}},
journal = {Annales de la Facult\'e des sciences de Toulouse : Math\'ematiques},
pages = {783--816},
publisher = {Universit\'e Paul Sabatier, Institut de Math\'ematiques},
address = {Toulouse},
volume = {Ser. 6, 21},
number = {4},
year = {2012},
doi = {10.5802/afst.1351},
mrnumber = {3052031},
zbl = {1260.53138},
language = {en},
url = {https://afst.centre-mersenne.org/articles/10.5802/afst.1351/}
}
TY - JOUR AU - Hervé Gaussier AU - Alexandre Sukhov TI - Levi-flat filling of real two-spheres in symplectic manifolds (II) JO - Annales de la Faculté des sciences de Toulouse : Mathématiques PY - 2012 SP - 783 EP - 816 VL - 21 IS - 4 PB - Université Paul Sabatier, Institut de Mathématiques PP - Toulouse UR - https://afst.centre-mersenne.org/articles/10.5802/afst.1351/ DO - 10.5802/afst.1351 LA - en ID - AFST_2012_6_21_4_783_0 ER -
%0 Journal Article %A Hervé Gaussier %A Alexandre Sukhov %T Levi-flat filling of real two-spheres in symplectic manifolds (II) %J Annales de la Faculté des sciences de Toulouse : Mathématiques %D 2012 %P 783-816 %V 21 %N 4 %I Université Paul Sabatier, Institut de Mathématiques %C Toulouse %U https://afst.centre-mersenne.org/articles/10.5802/afst.1351/ %R 10.5802/afst.1351 %G en %F AFST_2012_6_21_4_783_0
Hervé Gaussier; Alexandre Sukhov. Levi-flat filling of real two-spheres in symplectic manifolds (II). Annales de la Faculté des sciences de Toulouse : Mathématiques, Serie 6, Volume 21 (2012) no. 4, pp. 783-816. doi : 10.5802/afst.1351. https://afst.centre-mersenne.org/articles/10.5802/afst.1351/
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