Riemann maps in almost complex manifolds
Document type :
Pré-publication ou Document de travail
Title :
Riemann maps in almost complex manifolds
Author(s) :
Coupet, Bernard [Auteur]
Laboratoire d'Analyse, Topologie, Probabilités [LATP]
Gaussier, Hervé [Auteur]
Laboratoire d'Analyse, Topologie, Probabilités [LATP]
Sukhov, Alexandre [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Laboratoire d'Analyse, Topologie, Probabilités [LATP]
Gaussier, Hervé [Auteur]
Laboratoire d'Analyse, Topologie, Probabilités [LATP]
Sukhov, Alexandre [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
HAL domain(s) :
Mathématiques [math]/Variables complexes [math.CV]
Mathématiques [math]/Géométrie symplectique [math.SG]
Mathématiques [math]/Géométrie différentielle [math.DG]
Mathématiques [math]/Géométrie symplectique [math.SG]
Mathématiques [math]/Géométrie différentielle [math.DG]
English abstract : [en]
We prove the existence of stationary discs in the ball for small almost complex deformations of the standard structure. We define a local analogue of the Riemann map and establish its main properties. These constructions ...
Show more >We prove the existence of stationary discs in the ball for small almost complex deformations of the standard structure. We define a local analogue of the Riemann map and establish its main properties. These constructions are applied to study the local geometry of almost complex manifolds and their morphisms.Show less >
Show more >We prove the existence of stationary discs in the ball for small almost complex deformations of the standard structure. We define a local analogue of the Riemann map and establish its main properties. These constructions are applied to study the local geometry of almost complex manifolds and their morphisms.Show less >
Language :
Anglais
Comment :
2003.6.18
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