Jacobian Elliptic Functions and Minimal Surfaces

DOI10.2307/2161914zbMath0919.53002OpenAlexW4238978898MaRDI QIDQ4874283

Faruk F. Abi-Khuzam

Publication date: 21 April 1996

Full work available at URL: https://doi.org/10.2307/2161914

zbMATH Keywords

symmetryelliptic functionsendscomplete minimal surfaces

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Elliptic functions and integrals (33E05)

Cites Work

• Unnamed Item
• The topology of complete minimal surfaces of finite total Gaussian curvature
• A complete embedded minimal surface in \({\mathbb{R}}^ 3\) with genus one and three ends
• Elliptische und hyperelliptische Funktionen und vollständige Minimalflächen vom Enneperschen Typ
• Example of a complete minimal immersion in IR3 of genus one and three-embedded ends

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