Non-Runge Fatou-Bieberbach Domains in Stein Manifolds with the Density Property
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arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866915839070961664 |
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| author | Huang, Gaofeng Kutzschebauch, Frank Rong, Feng |
| author_facet | Huang, Gaofeng Kutzschebauch, Frank Rong, Feng |
| contents | Let $X$ be a Stein manifold with the density property. We present methods of constructing two kinds of non-Runge Fatou-Bieberbach domains in $X$, which by definition are proper open subsets of $X$ biholomorphic either to $\mathbb{C}^n$ or to $X$. For both kinds, we provide examples where our methods apply. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_04903 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Non-Runge Fatou-Bieberbach Domains in Stein Manifolds with the Density Property Huang, Gaofeng Kutzschebauch, Frank Rong, Feng Complex Variables 32M17, 32E30 Let $X$ be a Stein manifold with the density property. We present methods of constructing two kinds of non-Runge Fatou-Bieberbach domains in $X$, which by definition are proper open subsets of $X$ biholomorphic either to $\mathbb{C}^n$ or to $X$. For both kinds, we provide examples where our methods apply. |
| title | Non-Runge Fatou-Bieberbach Domains in Stein Manifolds with the Density Property |
| topic | Complex Variables 32M17, 32E30 |
| url | https://arxiv.org/abs/2603.04903 |