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Hyperbolic embeddedness and extension–convergence theorems of J-holomorphic curves

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Abstract

First, we give some characterization of hyperbolic embeddedness in the almost complex case. Next, we study the stability of hyperbolically embedded manifolds under a small perturbation of almost complex structures. Finally, we obtain generalizations and extensions of theorems of Kobayashi, Kiernan, Kwack and Noguchi for almost complex manifolds.

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  1. Institut Préparatoire aux Études d’Ingénieur, rue Ibn-Eljazzar 5019, Monastir, Tunisia

    Fathi Haggui & Adel Khalfallah

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  1. Fathi Haggui
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  2. Adel Khalfallah
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Correspondence to Adel Khalfallah.

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Haggui, F., Khalfallah, A. Hyperbolic embeddedness and extension–convergence theorems of J-holomorphic curves. Math. Z. 262, 363–379 (2009). https://doi.org/10.1007/s00209-008-0378-6

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  • DOI: https://doi.org/10.1007/s00209-008-0378-6

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