Abstract
Holomorphic maps of the unit disk into a complex manifold X, which miss an analytic subset A of codimension $\geqslant 2$, are shown to be dense in all holomorphic maps of the disk into X. This implies that the Kobayashi pseudodistance on $X - A$ is the same as that on X, and thus leads to some new examples of nonhyperbolic manifolds containing no lines.
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