Riemann maps in almost complex manifolds

Coupet, Bernard; Gaussier, Hervé; Sukhov, Alexandre

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Tome 2 (2003) no. 4, pp. 761-785.

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.

Classification : 32H02, 32H40, 32T15, 53C15, 53D12

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