First, we give some characterizations of the Kobayashi hyperbolicity of almost complex manifolds. Next, we show that a compact almost complex manifold is hyperbolic if and only if it has the Δ*-extension property. Finally, we investigate extension-convergence theorems for pseudoholomorphic maps with values in pseudoconvex domains.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap97-2-5,
author = {Fathi Haggui and Adel Khalfallah},
title = {Some characterizations of hyperbolic almost complex manifolds},
journal = {Annales Polonici Mathematici},
volume = {98},
year = {2010},
pages = {159-168},
zbl = {1194.32012},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap97-2-5}
}
Fathi Haggui; Adel Khalfallah. Some characterizations of hyperbolic almost complex manifolds. Annales Polonici Mathematici, Tome 98 (2010) pp. 159-168. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap97-2-5/