Uniform approximation by complete minimal surfaces of finite total curvature in ℝ³

DOI10.1090/S0002-9947-2014-05890-XzbMath1304.53007arXiv0903.3209OpenAlexW2964170028MaRDI QIDQ2930648

Francisco J. López

Publication date: 19 November 2014

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0903.3209

zbMATH Keywords

Mergelyan's theoremRunge's theoremcompact minimal surfacescomplete minimal surfaces of finite total curvature

Mathematics Subject Classification ID

Minimal surfaces and optimization (49Q05) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Optimization of shapes other than minimal surfaces (49Q10)

Related Items (4)

Algebraic approximation and the Mittag-Leffler theorem for minimal surfaces ⋮ Properness of associated minimal surfaces ⋮ NEW COMPLEX ANALYTIC METHODS IN THE THEORY OF MINIMAL SURFACES: A SURVEY ⋮ Interpolation and optimal hitting for complete minimal surfaces with finite total curvature

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