Hyperbolic embeddability of locally complete almost complex submanifolds

Adel Khalfallah

doi:10.1016/j.crma.2011.01.020

Complex Analysis/Analytic Geometry

Hyperbolic embeddability of locally complete almost complex submanifolds
[Plongement hyperbolique des sous variétés presques complexe localement complètes]

Présenté par : Jean-Pierre Demailly

Adel Khalfallah ¹

¹ Institut préparatoire aux études dʼingénieur de Monastir, rue Ibn-Aljazzar, 5019 Monastir, Tunisia

Comptes Rendus. Mathématique, Volume 349 (2011) no. 5-6, pp. 259-262.

Résumé
Abstract

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.

Reçu le : 2010-07-17
Accepté le : 2011-01-19
Publié le : 2011-02-03

DOI : 10.1016/j.crma.2011.01.020

Affiliations des auteurs :

Adel Khalfallah ¹

¹ Institut préparatoire aux études dʼingénieur de Monastir, rue Ibn-Aljazzar, 5019 Monastir, Tunisia

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     title = {Hyperbolic embeddability of locally complete almost complex submanifolds},
     journal = {Comptes Rendus. Math\'ematique},
     pages = {259--262},
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     doi = {10.1016/j.crma.2011.01.020},
     language = {en},
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Adel Khalfallah. Hyperbolic embeddability of locally complete almost complex submanifolds. Comptes Rendus. Mathématique, Volume 349 (2011) no. 5-6, pp. 259-262. doi : 10.1016/j.crma.2011.01.020. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2011.01.020/

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Cité par

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