Authors: Hervé Gaussier Alexandre Sukhov
Publish Date: 2006/05/25
Volume: 254, Issue: 3, Pages: 567-589
Abstract
We study some special almost complex structures on strictly pseudoconvex domains in ℝ2 n They appear naturally as limits under a nonisotropic scaling procedure and play a role of model objects in the geometry of almost complex manifolds with boundary We determine explicitely some geometric invariants of these model structures and derive necessary and sufficient conditions for their integrability As applications we prove a boundary extension and a compactness principle for some elliptic diffeomorphisms between relatively compact domains
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