Algebraic approximation and the Mittag-Leffler theorem for minimal surfaces

DOI10.2140/apde.2022.15.859OpenAlexW4283269188WikidataQ113727181 ScholiaQ113727181MaRDI QIDQ2152583

Antonio Alarcón, Francisco J. López

Publication date: 8 July 2022

Published in: Analysis \& PDE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.01915

zbMATH Keywords

minimal surfaceRiemann surfacemeromorphic function

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Meromorphic functions of one complex variable (general theory) (30D30) Holomorphic, polynomial and rational approximation, and interpolation in several complex variables; Runge pairs (32E30)

Related Items (3)

Minimal surfaces in Euclidean spaces by way of complex analysis ⋮ Minimal surfaces with symmetries ⋮ Interpolation by complete minimal surfaces whose Gauss map misses two points

Cites Work

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• Uniform approximation by complete minimal surfaces of finite total curvature in ℝ³
• Holomorphic Approximation: The Legacy of Weierstrass, Runge, Oka–Weil, and Mergelyan
• Stein Manifolds and Holomorphic Mappings

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