Fefferman's mapping theorem on almost complex manifolds

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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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Complex Variables, Differential Geometry, 32H02, 53C15

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http://salesiana.dossiersoluciones.com/handle/123456789/70285

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0402428
 http://arxiv.org/abs/math/0402428

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arXiv