Non-Runge Fatou-Bieberbach Domains in Stein Manifolds with the Density Property

Gaofeng Huang; Frank Kutzschebauch; Feng Rong

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arXiv · 2603.04903

Non-Runge Fatou-Bieberbach Domains in Stein Manifolds with the Density Property

Gaofeng Huang·Frank Kutzschebauch·Feng Rong

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Abstract

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.

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Gaofeng Huang, Frank Kutzschebauch, Feng Rong. 2026-03-05. Non-Runge Fatou-Bieberbach Domains in Stein Manifolds with the Density Property. https://arxiv.org/abs/2603.04903

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