Title :

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

Author(s) :

Gaussier, Hervé [Auteur]
Institut Fourier [IF ]
Sukhov, Alexandre [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]

Journal title :

Annales de la Faculté des Sciences de Toulouse. Mathématiques.

Pages :

515-539

Publisher :

Université Paul Sabatier _ Cellule Mathdoc

Publication date :

2011

ISSN :

0240-2963

HAL domain(s) :

Mathématiques [math]/Variables complexes [math.CV]
Mathématiques [math]/Géométrie symplectique [math.SG]

English abstract : [en]

Let (M,J,w) be a manifold with an almost complex structure J tamed by a symplectic form w. We suppose that M has complex dimension two, is Levi convex and has bounded geometry. We prove that a real two-sphere with two ...
Show more >Let (M,J,w) be a manifold with an almost complex structure J tamed by a symplectic form w. We suppose that M has complex dimension two, is Levi convex and has bounded geometry. We prove that a real two-sphere with two elliptic points, embedded into the boundary of M may be foliated by the boundaries of pseudoholomorphic discs.Show less >

Language :

Anglais

Popular science :

Non

Comment :

18 pages

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL