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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.
@article{ASNSP_2003_5_2_4_761_0,
author = {Coupet, Bernard and Gaussier, Herv\'e and Sukhov, Alexandre},
title = {Riemann maps in almost complex manifolds},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
pages = {761--785},
publisher = {Scuola normale superiore},
volume = {Ser. 5, 2},
number = {4},
year = {2003},
mrnumber = {2040642},
zbl = {1170.32310},
language = {en},
url = {http://geodesic.mathdoc.fr/item/ASNSP_2003_5_2_4_761_0/}
}
TY - JOUR AU - Coupet, Bernard AU - Gaussier, Hervé AU - Sukhov, Alexandre TI - Riemann maps in almost complex manifolds JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze PY - 2003 SP - 761 EP - 785 VL - 2 IS - 4 PB - Scuola normale superiore UR - http://geodesic.mathdoc.fr/item/ASNSP_2003_5_2_4_761_0/ LA - en ID - ASNSP_2003_5_2_4_761_0 ER -
%0 Journal Article %A Coupet, Bernard %A Gaussier, Hervé %A Sukhov, Alexandre %T Riemann maps in almost complex manifolds %J Annali della Scuola Normale Superiore di Pisa - Classe di Scienze %D 2003 %P 761-785 %V 2 %N 4 %I Scuola normale superiore %U http://geodesic.mathdoc.fr/item/ASNSP_2003_5_2_4_761_0/ %G en %F ASNSP_2003_5_2_4_761_0
Coupet, Bernard; Gaussier, Hervé; Sukhov, Alexandre. Riemann maps in almost complex manifolds. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Tome 2 (2003) no. 4, pp. 761-785. http://geodesic.mathdoc.fr/item/ASNSP_2003_5_2_4_761_0/