Construction of higher genus minimal surfaces with one end and finite total curvature

DOI10.2748/tmj/1178225378zbMath1010.53501OpenAlexW2050252005MaRDI QIDQ1922256

Katsunori Sato

Publication date: 14 May 2003

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178225378

zbMATH Keywords

finite total curvatureminimal surfacesEnneper-Weierstrass representation

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

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Cites Work

• Unnamed Item
• A complete embedded minimal surface in \({\mathbb{R}}^ 3\) with genus one and three ends
• Minimal surfaces in \({\mathbb{R}}^ 3\)
• Elliptische und hyperelliptische Funktionen und vollständige Minimalflächen vom Enneperschen Typ
• The triply periodic minimal surfaces of Alan Schoen and their constant mean curvature companions
• Minimal surfaces of higher genus with finite total curvature
• Complete minimal surfaces derived from Chen-Gackstatter genus two example
• Global properties of minimal surfaces in \(E^ 3\) and \(E^ n\)
• The Classification of Complete Minimal Surfaces with Total Curvature Greater Than -12&#960
• Example of a complete minimal immersion in IR3 of genus one and three-embedded ends
• Embedded minimal surfaces of finite topology