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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Moving holomorphic disks off analytic subsets


Authors: L. A. Campbell, A. Howard and T. Ochiai
Journal: Proc. Amer. Math. Soc. 60 (1976), 106-108
MSC: Primary 32H15
MathSciNet review: 0425186
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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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DOI: http://dx.doi.org/10.1090/S0002-9939-1976-0425186-0
PII: S 0002-9939(1976)0425186-0
Article copyright: © Copyright 1976 American Mathematical Society