Riemann maps in almost complex manifolds

2003/07/25 by B Coupet, Coupet, B, H Gaussier +3
Mathematics · #32H02 #32H40 #32T15 #53C15 #53D12 #Complex Variables (math.CV) #Differential Geometry (math.DG) #FOS: Mathematics #Symplectic Geometry (math.SG) #math.CV #math.DG #math.SG #msc:32H02 #msc:32H40 #msc:32T15 #msc:53C15 #msc:53D12

paper · pdf · doi:10.48550/arxiv.math/0307332

2003.6.18

arxiv created 2003/07/25 · arxiv updated 2009/12/01

Abstract

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.

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