Fefferman's mapping theorem on almost complex manifolds

Details Fefferman's mapping theorem on almost complex manifolds Fefferman's mapping theorem on almost complex manifolds

2004-02-26

arxiv.org/abs/math/0402428v1

Mathematics

Complex Variables

Scientific paper

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.

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