Algebraic approximation and the Mittag-Leffler theorem for minimal surfaces

Antonio Alarcon; Francisco J. Lopez

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arXiv · 1906.01915

Algebraic approximation and the Mittag-Leffler theorem for minimal surfaces

Antonio Alarcon·Francisco J. Lopez

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Abstract

In this paper, we prove a uniform approximation theorem with interpolation for complete conformal minimal surfaces with finite total curvature in the Euclidean space $\mathbb{R}^n$ $(n\ge 3)$. As application, we obtain a Mittag-Leffler type theorem for complete conformal minimal immersions $M\to\mathbb{R}^n$ on any open Riemann surface $M$.

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BibTeX RIS

Antonio Alarcon, Francisco J. Lopez. 2020-10-28. Algebraic approximation and the Mittag-Leffler theorem for minimal surfaces. https://arxiv.org/abs/1906.01915

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