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arXiv · 2505.15129

Approximation of biholomorphic maps between Runge domains by holomorphic automorphisms

Franc Forstneric
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Abstract

We show that biholomorphic maps between certain pairs of Runge domains in the complex affine space $\mathbb C^n$, $n>1$, are limits of holomorphic automorphisms of $\mathbb C^n$. A similar result holds for volume preserving maps and also in Stein manifolds with the density property. This generalizes several results in the literature and provides a considerably simpler proof.

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Franc Forstneric. 2025-05-21. Approximation of biholomorphic maps between Runge domains by holomorphic automorphisms. https://doi.org/10.1007/s40627-025-00163-3

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