On the geometry of model almost complex manifolds with boundary

Details On the geometry of model almost complex manifolds with boundary On the geometry of model almost complex manifolds with boundary

2004-12-05

arxiv.org/abs/math/0412095v2

Mathematics

Complex Variables

19 pages

Scientific paper

We study some special almost complex structures on strictly pseudoconvex domains. They appear naturally as limits under a nonisotroping scaling procedure and play a role of model objects in the geometry of almost complex manifolds with boundary. As applications we prove a boundary extension and a compactness principle for some elliptic diffeomorphisms between relatively compact domains.

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