Construction of \(n\)-end catenoids with prescribed flux

DOI10.2996/kmj/1138043356zbMath0879.53009OpenAlexW2037993908MaRDI QIDQ1902054

Shin Kato

Publication date: 26 January 1998

Published in: Kodai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2996/kmj/1138043356

zbMATH Keywords

\(n\)-end catenoidprescribed flux

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)

Related Items

Surfaces of constant mean curvature \(c\) in \(H^ 3(-c^ 2)\) with prescribed hyperbolic Gauss map ⋮ Irreducible constant mean curvature 1 surfaces in hyperbolic space with positive genus ⋮ Index, nullity and flux of \(n\)-noids ⋮ Mean curvature one surfaces in hyperbolic space, and their relationship to minimal surfaces in Euclidean space

Cites Work

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• The topology of complete minimal surfaces of finite total Gaussian curvature
• The triply periodic minimal surfaces of Alan Schoen and their constant mean curvature companions
• Surfaces of constant mean curvature \(c\) in \(H^ 3(-c^ 2)\) with prescribed hyperbolic Gauss map
• Symmetric minimal surfaces in \(\mathbb{R}^ 3\)
• Minimal surfaces with catenoid ends
• Minimal Surfaces Based on the Catenoid
• The Classification of Complete Minimal Surfaces with Total Curvature Greater Than -12&#960

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