Normal pseudoholomorphic curves

• Autorzy: Fathi Haggui , Adel Khalfallah
• Języki publikacji: EN

Abstrakty

EN

First, we give some characterizations of J-hyperbolic points for almost complex manifolds. We apply these characterizations to show that the hyperbolic embeddedness of an almost complex submanifold follows from relative compactness of certain spaces of continuous extensions of pseudoholomorphic curves defined on the punctured unit disc. Next, we define uniformly normal families of pseudoholomorphic curves. We prove extension-convergence theorems for these families similar to those obtained by Kobayashi, Kiernan and Joseph-Kwack in the standard complex case.

Kategorie tematyczne

• 32Q45: Hyperbolic and Kobayashi hyperbolic manifolds
• 32Q65: Pseudoholomorphic curves
• 32Q60: Almost complex manifolds

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2011
• Tom: 101
• Numer: 1
• Strony: 55-65

Daty

wydano

2011

Twórcy

autor

Fathi Haggui

• Institut préparatoire aux études d'ingénieur, rue Ibn-Eljazzar, 5019 Monastir, Tunisie

autor

Adel Khalfallah

• Institut préparatoire aux études d'ingénieur, rue Ibn-Eljazzar, 5019 Monastir, Tunisie

Identyfikatory

DOI

10.4064/ap101-1-6