Title: $\mathbb{D}^\star$ extension property without hyperbolicity

Authors: Do Duc Thai and Pacal J. Thomas

Issue: Volume 47 (1998), Issue 3, 1125-1130

Abstract: We present an example of a complex manifold $X$---in fact, a pseudoconvex open set in $\mathbb{C}^2$---such that $X$ is not Kobayashi-hyperbolic, but any holomorphic map from the punctured unit disk to $X$ extends to a map from the whole unit disk to $X$.