English

On the geometry of model almost complex manifolds with boundary

Complex Variables 2007-05-23 v2

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.

Keywords

Cite

@article{arxiv.math/0412095,
  title  = {On the geometry of model almost complex manifolds with boundary},
  author = {H. Gaussier and A. Sukhov},
  journal= {arXiv preprint arXiv:math/0412095},
  year   = {2007}
}

Comments

19 pages

R2 v1 2026-07-22T17:13:10.669Z