$\mathbb{D}^\star$ extension property without hyperbolicity
Do Duc ThaiPacal Thomas
32D1532H1532F4532D2032A07continuation of analytic objectsInvariant metrics and pseudodistancesremovable singularitiesHartogs domainsKobayashi hyperbolicity
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 $X$.
Indiana University Mathematics Journal
1998
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10.1512/iumj.1998.47.1484
10.1512/iumj.1998.47.1484
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Indiana Univ. Math. J. 47 (1998) 1125 - 1130
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