Fefferman's mapping theorem on almost complex manifolds

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/70285We 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.Complex VariablesDifferential Geometry32H02, 53C15Fefferman's mapping theorem on almost complex manifoldstext