Meromorphic Functions on a Compact Riemann Surface and Associated Complete Minimal Surfaces

DOI10.2307/2046924zbMath0669.53007OpenAlexW4252937457MaRDI QIDQ3822784

Kichoon Yang

Publication date: 1989

Full work available at URL: https://doi.org/10.2307/2046924

zbMATH Keywords

finite total curvaturemeromorphic functioncomplete minimal surfacetheorem of Riemann-RochWeierstraß pair

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) Differentials on Riemann surfaces (30F30)

Related Items (5)

On symmetric Willmore surfaces in spheres. I: The orientation preserving case. ⋮ Indices of some meromorphic functions of degree \(3\) on tori ⋮ Complete Minimal Surfaces and the Puncture Number Problem ⋮ On symmetric Willmore surfaces in spheres. II: The orientation reversing case ⋮ Surfaces minimales non orientables de genre quelconque

Cites Work

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• Elliptische und hyperelliptische Funktionen und vollständige Minimalflächen vom Enneperschen Typ
• Konstruktion vollständiger Minimalflächen von endlicher Gesamtkrümmung
• Complete minimal surfaces in Euclidean \(n\)-spaces
• EXISTENCE OF COMPLETE MINIMAL SURFACES OF ARBITRARY CONNECTIVITY AND GENUS
• Complete embedded minimal surfaces of finite total curvature

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