We establish the Schwarz Reflection Principle for -complex discs attached to a real analytic -totally real submanifold of an almost complex manifold with real analytic . We also prove the precise boundary regularity and derive the precise convergence in Gromov compactness theorem in -classes.
Nous établissons le Principe de Symétrie de Schwarz pour les disques complexes attachés à une sous-variété analytique réelle et totalement réelle d’une variété presque complexe munie d’une structure presque complexe analytique réelle. Nous prouvons également la régularité au bord précise de ces disques et nous en déduisons la convergence exacte dans le théorème de compacité de Gromov dans les classes .
Keywords: Almost complex structure, totally real manifold, holomorphic disc, reflection principle
Mot clés : structure presque complexe, variété totalement réelle, disque analytique, principe de symétrie
@article{AIF_2010__60_4_1489_0, author = {Ivashkovich, Sergey and Sukhov, Alexandre}, title = {Schwarz {Reflection} {Principle,} {Boundary} {Regularity} and {Compactness} for $J${-Complex} {Curves}}, journal = {Annales de l'Institut Fourier}, pages = {1489--1513}, publisher = {Association des Annales de l{\textquoteright}institut Fourier}, volume = {60}, number = {4}, year = {2010}, doi = {10.5802/aif.2562}, zbl = {1208.32026}, mrnumber = {2722249}, language = {en}, url = {http://www.numdam.org/articles/10.5802/aif.2562/} }
TY - JOUR AU - Ivashkovich, Sergey AU - Sukhov, Alexandre TI - Schwarz Reflection Principle, Boundary Regularity and Compactness for $J$-Complex Curves JO - Annales de l'Institut Fourier PY - 2010 SP - 1489 EP - 1513 VL - 60 IS - 4 PB - Association des Annales de l’institut Fourier UR - http://www.numdam.org/articles/10.5802/aif.2562/ DO - 10.5802/aif.2562 LA - en ID - AIF_2010__60_4_1489_0 ER -
%0 Journal Article %A Ivashkovich, Sergey %A Sukhov, Alexandre %T Schwarz Reflection Principle, Boundary Regularity and Compactness for $J$-Complex Curves %J Annales de l'Institut Fourier %D 2010 %P 1489-1513 %V 60 %N 4 %I Association des Annales de l’institut Fourier %U http://www.numdam.org/articles/10.5802/aif.2562/ %R 10.5802/aif.2562 %G en %F AIF_2010__60_4_1489_0
Ivashkovich, Sergey; Sukhov, Alexandre. Schwarz Reflection Principle, Boundary Regularity and Compactness for $J$-Complex Curves. Annales de l'Institut Fourier, Volume 60 (2010) no. 4, pp. 1489-1513. doi : 10.5802/aif.2562. http://www.numdam.org/articles/10.5802/aif.2562/
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