On the geometry of model almost complex manifolds with boundary

H. Gaussier; A. Sukhov

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On the geometry of model almost complex manifolds with boundary

H. Gaussier·A. Sukhov

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Abstract

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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BibTeX RIS

H. Gaussier, A. Sukhov. 2005-01-30. On the geometry of model almost complex manifolds with boundary. https://arxiv.org/abs/math/0412095

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