Some characterizations of hyperbolic almost complex manifolds
Volume 97 / 2010
Annales Polonici Mathematici 97 (2010), 159-168
MSC: 32Q45, 32Q60, 32Q65.
DOI: 10.4064/ap97-2-5
Abstract
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 ${\mit\Delta} ^*$-extension property. Finally, we investigate extension-convergence theorems for pseudoholomorphic maps with values in pseudoconvex domains.
