Fefferman's mapping theorem on almost complex manifolds

Bernard Coupet; Herve Gaussier; Alexandre Sukhov

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Fefferman's mapping theorem on almost complex manifolds

Bernard Coupet·Herve Gaussier·Alexandre Sukhov

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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.

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Bernard Coupet, Herve Gaussier, Alexandre Sukhov. 2004-02-26. Fefferman's mapping theorem on almost complex manifolds. https://arxiv.org/abs/math/0402428

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