Minimal surfaces in \({\mathbb{R}}^ 3\)

DOI10.1007/BFb0077105zbMath0609.53001OpenAlexW2495683217MaRDI QIDQ1086847

Antonio Gervásio Colares, João Lucas Marques Barbosa

Publication date: 1986

Published in: Lecture Notes in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bfb0077105

zbMATH Keywords

minimal surfaceBernstein theoremelliptic functiontotal curvatureGauß-Bonnet formulaWeierstraß representation

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Compact Riemann surfaces and uniformization (30F10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Research exposition (monographs, survey articles) pertaining to differential geometry (53-02) Differentials on Riemann surfaces (30F30)

Related Items (12)

On complete minimal surfaces whose Gauss map misses two directions ⋮ Algebraic approximation and the Mittag-Leffler theorem for minimal surfaces ⋮ Holomorphic representation of minimal surfaces in simply isotropic space ⋮ Smarandache ruled surfaces according to Frenet-Serret frame of a regular curve in \(E^3\) ⋮ Construction of higher genus minimal surfaces with one end and finite total curvature ⋮ Catenaries and singular minimal surfaces in the simply isotropic space ⋮ Minimal surfaces with symmetries ⋮ The \(C_{m r}^{\kappa h}\) minimal surfaces ⋮ Unnamed Item ⋮ Interpolation and optimal hitting for complete minimal surfaces with finite total curvature ⋮ Characteristic properties of type-2 Smarandache ruled surfaces according to the type-2 Bishop frame in \(E^3\) ⋮ Characterization of manifolds of constant curvature by ruled surfaces

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