Fefferman's mapping theorem on almost complex manifolds
Coupet, Bernard ; Gaussier, Hervé ; Sukhov, Alexandre
HAL, hal-00001145 / Harvested from HAL
Text on HAL
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.
Publié le : 2004-02-26
Classification:  32H02, 53C15,  [MATH.MATH-CV]Mathematics [math]/Complex Variables [math.CV],  [MATH.MATH-DG]Mathematics [math]/Differential Geometry [math.DG] 
@article{hal-00001145,
     author = {Coupet, Bernard and Gaussier, Herv\'e and Sukhov, Alexandre},
     title = {Fefferman's mapping theorem on almost complex manifolds},
     journal = {HAL},
     volume = {2004},
     number = {0},
     year = {2004},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00001145}
}

Coupet, Bernard; Gaussier, Hervé; Sukhov, Alexandre. Fefferman's mapping theorem on almost complex manifolds. HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/hal-00001145/