[Plongement hyperbolique des sous variétés presques complexe localement complètes]
Dans cette Note, on généralise dans le cas presque complexe un théorème de Zaidenberg (1983) [13] et Thai (1991) [12] en donnant une caractérisation des variétés presque complexe relativement compacte, hyperboliquement plongés et localement complètes en terme dʼextension des courbes pseudo-holomorphes et des limites de droites J-complexes.
In this Note, we generalize to the almost complex setting, a theorem of Zaidenberg (1983) [13] and Thai (1991) [12] by giving a characterization on hyperbolic embeddability of a locally complete and relatively compact almost complex submanifold in terms of extension of pseudo-holomorphic disks from the punctured unit disk and of limit J-complex lines.
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@article{CRMATH_2011__349_5-6_259_0,
author = {Khalfallah, Adel},
title = {Hyperbolic embeddability of locally complete almost complex submanifolds},
journal = {Comptes Rendus. Math\'ematique},
pages = {259--262},
publisher = {Elsevier},
volume = {349},
number = {5-6},
year = {2011},
doi = {10.1016/j.crma.2011.01.020},
language = {en},
url = {http://www.numdam.org/articles/10.1016/j.crma.2011.01.020/}
}
TY - JOUR AU - Khalfallah, Adel TI - Hyperbolic embeddability of locally complete almost complex submanifolds JO - Comptes Rendus. Mathématique PY - 2011 SP - 259 EP - 262 VL - 349 IS - 5-6 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.crma.2011.01.020/ DO - 10.1016/j.crma.2011.01.020 LA - en ID - CRMATH_2011__349_5-6_259_0 ER -
%0 Journal Article %A Khalfallah, Adel %T Hyperbolic embeddability of locally complete almost complex submanifolds %J Comptes Rendus. Mathématique %D 2011 %P 259-262 %V 349 %N 5-6 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.crma.2011.01.020/ %R 10.1016/j.crma.2011.01.020 %G en %F CRMATH_2011__349_5-6_259_0
Khalfallah, Adel. Hyperbolic embeddability of locally complete almost complex submanifolds. Comptes Rendus. Mathématique, Tome 349 (2011) no. 5-6, pp. 259-262. doi : 10.1016/j.crma.2011.01.020. http://www.numdam.org/articles/10.1016/j.crma.2011.01.020/
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