Embedding strictly pseudoconvex domains into balls
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- by Franc Forstnerič PDF
- Trans. Amer. Math. Soc. 295 (1986), 347-368 Request permission
Abstract:
Every relatively compact strictly pseudoconvex domain $D$ with ${{\mathbf {C}}^2}$ boundary in a Stein manifold can be embedded as a closed complex submanifold of a finite dimensional ball. However, for each $n \geq 2$ there exist bounded strictly pseudoconvex domains $D$ in ${\mathbb {C}^n}$ with real-analytic boundary such that no proper holomorphic map from $D$ into any finite dimensional ball extends smoothly to $\overline D$.References
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Additional Information
- © Copyright 1986 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 295 (1986), 347-368
- MSC: Primary 32H99; Secondary 32F15, 32F25
- DOI: https://doi.org/10.1090/S0002-9947-1986-0831203-7
- MathSciNet review: 831203