Fefferman's mapping theorem on almost complex manifolds
Complex Variables
2007-05-23 v1 Differential Geometry
Abstract
We give a necessary and sufficient condition for the smooth extension of a diffeomorphism between smooth strictly pseudoconvex domains in four real dimensional almost complex manifolds. The proof is mainly based on a reflection principle for pseudoholomorphic discs, on precise estimates of the Kobayashi-Royden infinitesimal pseudometric and on the scaling method in almost complex manifolds.
Cite
@article{arxiv.math/0402428,
title = {Fefferman's mapping theorem on almost complex manifolds},
author = {Bernard Coupet and Herve Gaussier and Alexandre Sukhov},
journal= {arXiv preprint arXiv:math/0402428},
year = {2007}
}