Pré-Publication, Document De Travail Année : 2004

Fefferman's mapping theorem on almost complex manifolds

Résumé

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 forpseudoholomorphic discs, on precise estimates of the Kobayashi-Royden infinitesimal pseudometric and on the scaling method in almost complex manifolds.

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hal-00001145 , version 1 (26-02-2004)

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Bernard Coupet, Hervé Gaussier, Alexandre Sukhov. Fefferman's mapping theorem on almost complex manifolds. 2004. ⟨hal-00001145⟩
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