Moving holomorphic disks off analytic subsets
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- by L. A. Campbell, A. Howard and T. Ochiai PDF
- Proc. Amer. Math. Soc. 60 (1976), 106-108 Request permission
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.References
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Robert Brody, Intrinsic metrics and measures on compact complex manifolds, Thesis, Harvard Univ., Cambridge, Mass., May 1975.
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- H. L. Royden, The extension of regular holomorphic maps, Proc. Amer. Math. Soc. 43 (1974), 306–310. MR 335851, DOI 10.1090/S0002-9939-1974-0335851-X
Additional Information
- © Copyright 1976 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 60 (1976), 106-108
- MSC: Primary 32H15
- DOI: https://doi.org/10.1090/S0002-9939-1976-0425186-0
- MathSciNet review: 0425186