Interpolation by conformal minimal surfaces and directed holomorphic curves

DOI10.2140/apde.2019.12.561zbMath1402.53005arXiv1701.04379OpenAlexW2576848535WikidataQ129105287 ScholiaQ129105287MaRDI QIDQ1616822

Ildefonso Castro-Infantes, Antonio Alarcón

Publication date: 7 November 2018

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

Full work available at URL: https://arxiv.org/abs/1701.04379

zbMATH Keywords

minimal surfaceRiemann surfaceWeierstrass theoremOka manifolddirected holomorphic curve

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02) Holomorphic, polynomial and rational approximation, and interpolation in several complex variables; Runge pairs (32E30)

Related Items (6)

Minimal surfaces in Euclidean spaces by way of complex analysis ⋮ NEW COMPLEX ANALYTIC METHODS IN THE THEORY OF MINIMAL SURFACES: A SURVEY ⋮ Interpolation and optimal hitting for complete minimal surfaces with finite total curvature ⋮ Interpolation by complete minimal surfaces whose Gauss map misses two points ⋮ Carleman approximation by conformal minimal immersions and directed holomorphic curves ⋮ Holomorphic Legendrian curves in \(\mathbb{CP}^3\) and superminimal surfaces in \(\mathbb{S}^4\)

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