Complete minimal surfaces densely lying in arbitrary domains of \(\mathbb{R}^n\)

DOI10.2140/gt.2018.22.571zbMath1378.53070arXiv1611.05029OpenAlexW2963292812MaRDI QIDQ1676777

Antonio Alarcón, Ildefonso Castro-Infantes

Publication date: 10 November 2017

Published in: Geometry \& Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.05029

zbMATH Keywords

holomorphic curveRiemann surfacecomplete minimal surface

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) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

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 by complete minimal surfaces whose Gauss map misses two points ⋮ The halfspace theorem for minimal hypersurfaces in regions bounded by minimal cones ⋮ Holomorphic Legendrian curves in \(\mathbb{CP}^3\) and superminimal surfaces in \(\mathbb{S}^4\) ⋮ Complete densely embedded complex lines in ℂ²

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